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

Accepted Solution

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