Question

Find the area of the green sector if m∠ A = π/6 and the circle has a radius of 10 inches. A) 25π B) π/6 C) 25π/ 3 D) 5π/6

Answer 1

25π/2

Explanation:

You can set up a proportion:

area sector /area : circle = A /360 °

In this case : x /100π = 45 /360

x = 1/8 100π = 25π/2

Answer 2

Where is the green sector?

I will assume that the central angle is pi/6 and that the radius is 10 in.

The area of the whole circle is pi*100 units^2.

The green sector has an area of

pi/6

-------- times the area of the entire circle = (1/12) of pi*100 units^2.

2pi

This comes to pi*(100 units^2)

------------------------ = (25/3) pi units^2. That's C.

12