The circumference of a circle can be calculated using the formula C = πd, where C is the circumference, π is a constant approximately equal to 3.14159, and d is the diameter of the circle. In this case, the diameter of the pool is 15 feet, so the circumference would be C = π(15) = 47.12385 feet. Therefore, the length around the 15-foot diameter pool would be approximately 47.12 feet.
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The diameter is 15 ft, so your radius would be 7.5 ft.
Now you can split the circle into fourths knowing each radius is 7.5 ft.
Then use the formula S=rθ to find the arc length. Since it's split into fourths, you know each angle is 90o.
So then plug it in.
S=(7.5)(90o)
Multiply 90o times pi/180o to get rid of the degrees.
So then you have
S=(7.5)(pi/2)
Plug it into your calculator.
Multiply your answer by four (since we split it into fourths, we only found the arc length for one fourth of it).
And your answer should be 47.12 ft.
157 is the answer
The circumference of a 19 foot diameter circle is: 59.7 feet.
-- 3 feet in the diameter -- 1.5 feet in the radius -- 9.425 feet in the circumference (rounded)
803.84 feet
The diameter of a 20 foot circumference circle is about 6.366 feet. (C / Pi = diameter).