The circumference is 25.12 cm. Find the area of 3/8 of the circle bounded by this circle.
| September 28, 2021 | education
Given the circumference of a circle, we find its radius.
l = 2πR
Find the radius:
R = l / 2π = 25.12 / (3.14 * 2) = 25.12 / 6.28 = 4 cm is the radius of the circle.
Now we can find the area of a circle:
S = πR² = 3.14 * 4² = 3.14 * 16 = 50.24 cm2
Next, we find 3/8 of the area of the circle:
50.24 * 3/8 = 150.72 / 8 = 18.84 cm2
Answer: 3/8 of the area of a circle is 18.84 cm2.
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