Question:
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.
Updated On: Oct 10, 2024
- 3 feet
- 2.8 feet
- 2 feet
- 2.5 feet
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The Correct Option is C
Solution and Explanation
Let r be the radius of swimming pool and R be the radius of swimming pool with deck.
Area of swimming pool with deck
\(\pi\)R2 = \(\pi\)2+60\(\pi\)
= \(\pi\)142+60\(\pi\)= 256\(\pi\)
\(\pi\)R2 = 256\(\pi\)
R=16
Width of deck = 16−14 = 2 fect.
So the correct option is (C)
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