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A dog is attached to a 35​-foot rope fastened to the outside corner of a​ fenced-in garden that measures 28 feet by 36 feet. Assuming that the dog cannot enter the​ garden, compute the exact area that the dog can wander.

The dog can wander an area of ___ square feet
(exact answer, using the pi symbol)

Sagot :

The area that the dog can wander based on the information provided will be 931π.

How to calculate the area?

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

Learn more about area on:

brainly.com/question/25292087

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