lesson 10-7 pages 533-538 circumference and area: circles
TRANSCRIPT
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Lesson 10-7 Pages 533-538
Circumference and Area: Circles
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What you will learn!1. How to find the circumference of circles.
2. How to find area of circles.
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CircleCircle
DiameterDiameter
CenterCenter
CircumferenceCircumference
RadiusRadius (pi)(pi)
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What you really need to know!
A circle is the set of all points in a plane that are the same distance from a given point.
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What you really need to know!
The ratio of the circumference of a circle to its diameter is always equal to 3.1415926... The Greek letter (pi) stands for this number. Using this ratio, you can derive a formula for the circumference of a circle.
d
c dc
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What you really need to know!
dc
rc 2
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What you really need to know!
The area A of a circle equals the product of pi () and the square of its radius r. A = r2
Radius
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r
½ of the circumference
½ of 2r
rrA 22
1 2rA
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Example 1:
Find the circumference of the circle to the nearest tenth.
C = d
C = x 12
C = 37.7 in
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Example 2:
Find the circumference of the circle to the nearest tenth.
C = d
C = x 14.2
C = 44.6 m
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Example 3:
A landscaper has a tree whose roots form a ball-shaped bulb with a circumference of about 110 inches. How wide will the landscaper have to dig a hole in order to plant the tree?
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Example 3:
C = d
110 = •d
35.01408748 = d
At least 35 inches!
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Example 4:
Find the area of the circle to the nearest tenth.
A = r2
A = x 112
A = 380.1 ft2
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Example 4:
Find the area of the circle to the nearest tenth.
A = r2
A = x 4.152
A = 54.1 cm2
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Page 535-536
Guided Practice
#’s 4-9
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Pages 533-535 with someone at home and
study examples!
Read:
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Homework: Pages 536-538
#’s 10-30 even
#’s 37, 38, 48-53
Practice Quiz 2 #’s 1-5Lesson Check 10-7
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Lesson 10-7