Question

Lamar and Avalyn are raking leaves around a tree in their backyard. The tree has a diameter of 2 feet and is surrounded by a circle of leaves that is 24 feet in diameter. What is the area in square feet of the ground covered by leaves? Use 3.14 for π.

(a) 377.94 ft² (c) 452.16 ft²
(b) 449.02 ft² (d) 530.66 ft²

please help!!!!!

Answer 1

Answer is (b). 449.02 sqr ft. Total area including tree and leaves will be: π r^2 = 3.14 * (12)^2 = 3.14*144 = 452.16 sqr ft Area of tree: π r^2 = 3.14 * (1)^2 = 3.14*1 = 3.14 sqr ft. So, the area covered by leaves will be: 452.16-3.14 = 449.02 sqr ft