A small swimming pool has a circumference of 3π feet. Select the true statement about the pool. a The radius is 3 ft. b The diameter is 3 ft. c The diameter is 1.5 ft. d The radius is 6 ft.
Mathematics · High School · Thu Jan 21 2021
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Given the statement:
A small swimming pool has a circumference of 3π feet.
Determine which statement is true.
Formula for the circumference of the circle:
C=2πr
Solution:
To do so, we simply solve for the radius of the cirlce.
C=2πr
r = C/2π
Substitute the value of C to the formula.
r = 3π/2π
r =3/2
Now we need to determine the diameter.
Diamater = 2r
Diameter = 2 (3/2)
Diameter = 3
Final answer:
b. The diameter is 3 ft