Answer to Question #3282 in Analytic Geometry for francis

Question

Assume you have a lawn that is 45 feet by 25 feet. Further, assume you buy a trampoline (a circular one) that is 15 feet in diameter. How much of the lawn is NOT under the tramp?

Answer 1

The area of the trampoline is
π d2/4 = 255/4π = 63.75 π = 200.28 ft²
The area of the lawn
45 * 25 = 1125 ft².
1125-200.28 = 924.72 ft² of the lawn is not under the trump.