SOLUTION: Question Number 1 of 5 - Geometry A circle has a radius of 8 centimeters. The measure of the arc of the shaded section is 72°. Which is closest to the area of the shaded secti

Algebra ->  Finance -> SOLUTION: Question Number 1 of 5 - Geometry A circle has a radius of 8 centimeters. The measure of the arc of the shaded section is 72°. Which is closest to the area of the shaded secti      Log On


   



Question 932505: Question Number 1 of 5 - Geometry

A circle has a radius of 8 centimeters. The measure of the arc of the shaded section is 72°. Which is closest to the area of the shaded section of the circle?
160.8 cm2
40.2 cm2
10.1 cm2
50.3 cm2
That's My Final Answer!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
A circle has a radius of 8cm.
The measure of the arc of the shaded section is 72°.
total area of the circle is: A=r%5E2%2Api
72° degrees is 1%2F5 of 360°, so the shaded section is 1%2F5 of the total area of the circle.

so,the area of the shaded section of circle is:
A+=+%281%2F5%29%28r%5E2%29pi
A=0.2%2A64cm%5E2%2A3.14
A+=+40.192cm%5E2+...round

A+=+40.2cm%5E2+
answer:40.2cm%5E2+