Find the diameter of the circle if the circumference is 23.55 m.
| June 21, 2021 | education
Given:
L = 23.55 m
π = 3.14
d -?
Decision:
The diameter is equal to two radii:
d = 2r (1).
By definition of the circumference:
L = 2πr (2).
From formula (2) we derive r:
r = L / 2π (3).
Substitute formula (3) into formula (1):
d = 2 * L / 2π = L / π (4).
Substitute the numerical values into the derived formula (4) and find the diameter of the circle:
d = 23.55 / 3.14 = 7.5 (m).
Answer: 7.5 m.
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