What is the approximate area of the shaded sector in the circle shown below? A. 5.76 cm2 B. 2.88 cm2 3 C. 31.7 cm2 D. 126.7 cm2?

Explanation:

The full circle has an area of 121pi square cm, as shown by the steps below

A = pi*r^2

A = pi*11^2

A = pi*121

A = 121pi

Again, this applies to the entire circle. However, we only want a small pizza slice of it. Specifically, we want a 30 degree slice out of a full 360 degree circle. So we want 30/360 = 1/12 of the full area.

(1/12)*121pi = 31.6777 approximately

That rounds to 31.7

2x^2+5x+17

your welcome. : )