Question

PLEASE ANSWER!

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.

Answer 1

Let R be the greater radius and r be the smaller radius

A) Area of the sidewalk = R^2 - r^2 - This can be the expression

B) = 3.14
=(R^2-r^2)
=(11^2-9^2)
=(121-81)
=*40

That was the simplified expression

Answer = 3.14 * 40 = 125.6m^2