Fido’s domain is limited by a 10-foot long leash that is tethered to the corner of his expansive 7 by 5-foot dog mansion. How much outdoor territory can Fido mark?

Question

asked Nov 24, 2021 159k views

2 Answers

Aditya Mehta · Answer 1 · 2021-11-30T16:22:57+0000

9514 1404 393

Answer:

83.5π ft² ≈ 262.3 square feet

Explanation:

Fido's area is 3/4 of a 10' radius circle plus 1/4 each of a 3' radius and 5' radius circle.

A = (3/4)(π(10 ft)²) +(1/4)(π)((3 ft)² +(5 ft)²)

= (75π +34/4π) ft² = 83.5π ft² ≈ 262.3 square feet