chapter 11 areas of polygons and circles. 11.1 areas of parallelograms the height is always...
TRANSCRIPT
![Page 1: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/1.jpg)
Chapter 11
Areas of Polygons and Circles
![Page 2: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/2.jpg)
11.1 Areas of Parallelograms The height is always perpendicular to the base
h
b
w
l
A = bh
A =lw
A = s2s
![Page 3: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/3.jpg)
11.1 Areas of Parallelograms
Find the perimeter and area of
![Page 4: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/4.jpg)
11.1 Areas of Parallelograms
Find the perimeter and area of
![Page 5: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/5.jpg)
11.1 Areas of Parallelograms
Find the area of
![Page 6: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/6.jpg)
11.1 Areas of Parallelograms
Find the area of the figure. Round to the nearest tenth if necessary.
![Page 7: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/7.jpg)
11.1 Areas of Parallelograms
Find the height and base of the parallelogram if the area is 168 square units.
![Page 8: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/8.jpg)
11.2 Areas of Triangles
h
b
b
h
A = bh2
1
![Page 9: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/9.jpg)
11.2 Areas of TrianglesFind the area of the figure. Round to the nearest tenth if necessary.
![Page 10: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/10.jpg)
11.2 Areas of TrianglesThe height of a triangle is 12 inches more than its base. The area of the triangle is 560 square inches. Find the base and the height.
![Page 11: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/11.jpg)
11.2 Areas of Trapezoids
h
b1
b2
h
median
A = h(b1+b2)2
1
A =h x median
![Page 12: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/12.jpg)
11.2 Areas of Trapezoids
Find the area of the trapeziod.
![Page 13: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/13.jpg)
11.2 Areas of Trapezoids
Find the area
![Page 14: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/14.jpg)
11.2 Areas of Trapezoids
Trapezoid QRST has an area of 210 square yards. Find the height of QRST.
![Page 15: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/15.jpg)
11.2 Areas of Rhombi
A = d1d22
1
d1
d2
![Page 16: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/16.jpg)
11.2 Areas of Rhombi
Find the area of the rhombus.
![Page 17: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/17.jpg)
11.2 Areas of RhombiOne diagonal of a rhombus is half as long as the other diagonal. If the area of the rhombus is 64 square inches, what are the lengths of the diagonals?
![Page 18: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/18.jpg)
11.3 Areas of Regular Polygons
Write the formula Try to find the
Perimeter Find the # of degrees
in the shape Divide by the # of sides Divide by 2*
Use sin-cos-tan to get the apothem
Substitute and solve
a
a*
*A = Pa
2
1
a = apothem
![Page 19: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/19.jpg)
11.3 Areas of Regular Polygons
What is the area of an octagon with an apothem length of 14 inches? Round to the nearest tenth if necessary.
![Page 20: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/20.jpg)
11.3 Areas of Regular Polygons
Find the area of the regular hexagon. Round to the nearest tenth.
![Page 21: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/21.jpg)
11.3 Areas of Regular Polygons
Find the area of the regular pentagon. Round to the nearest tenth.
![Page 22: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/22.jpg)
11.3 Areas of Circles and Sectors
rA = ∏r2
![Page 23: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/23.jpg)
11.3 Areas of Circles and Sectors
Find the area of the circle.Round to the nearest tenth.
![Page 24: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/24.jpg)
11.3 Areas of Circles and Sectors
Find the area of the semi-circle.Round to the nearest tenth.
![Page 25: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/25.jpg)
11.3 Areas of Circles and SectorsFind the radius of a circle with an area of 58 square inches.
![Page 26: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/26.jpg)
11.4 Composite Figures
POOL The dimensions of an irregularly shaped pool are shown. What is the area of the surface of the pool?
![Page 27: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/27.jpg)
11.4 Composite Figures
Find the area of the shaded figure.
![Page 28: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/28.jpg)
11.4 Composite Figures
Find the area of the figure in square feet. Round to the nearest tenth if necessary.
![Page 29: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/29.jpg)
11.4 Composite FiguresFind the area of the figure. Round to the nearest tenth if necessary.
![Page 30: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/30.jpg)
11.4 Composite FiguresFind the area of the shaded region. Assume that the polygon is regular. Round to the nearest tenth.
![Page 31: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/31.jpg)
11.4 Composite FiguresFind the area of the shaded region. Assume that the polygon is regular. Round to the nearest tenth.
![Page 32: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/32.jpg)
11.5 Geometric Probability and Areas of Sectors
r A = ∏r2360
orArc
Probability = Area of region you want
Area of whole shape/region
![Page 33: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/33.jpg)
11.5 Geometric Probability and Areas of Sectors
Find the area of the sector.Round to the nearest tenth.
![Page 34: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/34.jpg)
11.5 Geometric Probability and Areas of SectorsA pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to the nearest hundredth?
![Page 35: Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s](https://reader035.vdocument.in/reader035/viewer/2022062516/56649ddd5503460f94ad4bd3/html5/thumbnails/35.jpg)
11.5 Geometric Probability and Areas of Sectors
A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?