Question

A dog is attached to a 9-foot rope fastened to the outside corner of a fenced in garden that measures 6 feet by 10 feet. Assuming that the dog cannot enter the garden, (a) compute that exact area that the dog can wander (b) compute the perimeter the dog can walk if the rope is held out tight.

Answer 1

Step-by-step explanation:

There are two area of circle the dog can created

1. ¾ circle with radius 9-foot

2. ¼ circle with radius (9-6) foot.

so the exact area is

A = A1 + A2

A = π. 9² . ¾ + π . 3² . ¼ = 63π ft² ≈ 197.82 ft²

the perimeter also can be compute as

P = P1 + P2

P = ¾ . 2π . 9 + ¼ . 2π . 3

P = 15π ft ≈ 47.1 ft