2. At a zoo, the lion exhibit has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 13 m. The inner edge of the sidewalk is a circle with a radius of 11 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.

151 m² (to the nearest m²)

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller area from the larger; the difference represents the area of the sidewalk.

Area of larger circle: A = π (13 m) ²

Area of smaller circle: A = π (11 m) ²

Exact area of sidewalk: π (13² - 11²) m²

The approx. area of the sidewalk is obtained by subbing 3.14 for π in the above expression:

Approx. sidewalk area = 3.14 (169 - 121) m² = 151 m²