a chord of a circle is subtended by an angle of x degrees. the radius of the circle is 6 √ 2. what...
TRANSCRIPT
A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6√2. What is the area of the segmentMade with angle x?
We can work this out without a calculator.
We can because we know about surds.
A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are theradii of the circle. The radius of the circle is 6 √ 2. What is the area of the triangle?
Use surds and do not evaluate your answer.
A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are theradii of the circle. The radius of the circle is 6 √ 2. What is the area of the triangle?
(6 √ 2) x (6 √ 2) 2 = Area
(36 x 2) 2 = 36
A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are theradii of the circle. The radius of the circle is 6 √ 2. What is the area of the segment?
Find Area of circle using surds and keep your answer in terms of π
A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are theradii of the circle. The radius of the circle is 6 √ 2. What is the area of the circle ?
Area = rxrxπ
A = 6 √ 2 x 6 √ 2 π
A = 36 x 2 π = 72π
A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are theradii of the circle. The radius of the circle is 6 √ 2. What is the area of the segment?
Area of C = 72π
Segment = x72 π
Segment = 18 π
A chord of a circle is the side of an equilateral triangle and equal to theradius of the circle. The radius of the circle is 6 √ 2. What is the area of the segment?
Remember
A = 72 π
A chord of a circle is the side of an equilateral triangle and equal to theradius of the circle. The radius of the circle is 6 √ 2. What is the area of the segment?
A = 72 π
Segment = x72 π
Segment = 12 π
A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6 √ 2. What is the area of the segment made with angle x?
Remember
A = 72 π
A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6 √ 2. What is the area of the segment?
A = 72 π
segment = x/360 X 72 π
Segment = x/5 X π
Segment = x π/5
Note
Sometimes it
is actually
easier to
work with
surds!
Do not be in
a rush to
evaluate π