Using the example provided, Evaluate the area of the shaded region in terms of π.
a. 264 - 18π
b. 264 - 36π
c. 264 - 12π
d. 18π- 264
b. The area of the shaded region is the area of a rectangle, 22 by 12, minus the area of a circle with a radius of 6. The area of the rectangle is (22)(12) = 264. The area of a circle with radius 6 and a radius of 6, is π(6)2 = 36π. The area of the shaded region is 264 - 36π. If you select a, the formula for area of a circle was incorrect, 1 πr^{2}. If you select c, the formula for area of a circle was incorrect, πd. If you select d, this was the reverse of choice a-area of the circle minus area of the rectangle.