SOLUTION: Find the area of a segment of a circle if the diameter is 12 inches and the central angle is pi/4 radians?

Algebra.Com
Question 34342: Find the area of a segment of a circle if the diameter is 12 inches and the central angle is pi/4 radians?
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
First find out how much of the whole circle is radians.
There are radians in a complete circle, so you need to divide by

The segment is of the entire cicle, so the area of the segment will be the area of the entire circle.
But =

This is the area of the entire circle. Divide by 8 the get the area of the segment.


Area of the segment is:
Square inches.

RELATED QUESTIONS

Find the area of a segment of a circle if the diameter is 12 inches and the central angle (answered by venugopalramana)
Find the area of a segment of a circle whose diameter is 9 inches, if the segment has a... (answered by stanbon)
Given a circle of diameter 30 cm, find the area of a segment whose central angle is 100... (answered by Alan3354)
A circle has a diameter of 2 inches. In inches, what is the length of the arc intercetped (answered by nyc_function)
A circle has a circumference of {12\pi}. It has an arc of length {16}{15}\pi What is (answered by Alan3354)
If a circle has a circumference of 16 inches, what is the area of a sector with a central (answered by Alan3354)
find the area of a sector if the central angle measures 5pi/6 radians and the radius of... (answered by RAY100)
Find the area of a sector if the central angle measures 2pie/5 radians and the radius od... (answered by robertb)
What is the area of a circle sector whose radius is 10 inches and whose central angle... (answered by lwsshak3)