Question

Ted ate 3 pieces of the pizza. what is the area of the remaining pizza if the diameter of the pizza is 18 inches?

A. 95.4 square inches

B. 381.7 square inches

C. 159.0 square inches

D. 636.2 square inches.

Answer 1

C. 159.0 square inches

Explanation:

Given that

Ted ate 3 pieces of the pizza

We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches

Since the large circular pizza is divided into 8 equal slices

Now the radius of a pizza is

= 18 ÷ 2

= 9 inches

Now the angle subtended by each pizza is

= 360 degrees ÷ 9 inches

= 45 degrees

Now the area of the each pizza is

=
`\theta` ÷ 360 × πr^2

= 45 ÷ 360 × 3.14 × 9^2

= 31.7925

Now the area of the remaining pizza is

= 5 × 31.7925

= 158.9625

= 159 square inches