The circumference is 9.42 cm. Find the area of 2/3 of the circle bounded by this circle.
| July 26, 2021 | education
To find the answer to the question, recall the number π, which in the formula connects the length with the diameter of the circle.
We know that L = π * D. In the task L = 9.42 cm. Π we take 3.14. Let us express the value of the diameter:
D = L: π
Substitute the values of the numbers and solve:
D = 9.42: 3.14 = 3 cm
To calculate the area, the formula is known: S = π * D² / 4. To find 2/3 of the area of a circle, add this fractional factor:
2/3 * S = 2/3 * π * D² / 4 = π * 2/3 * 9/4 = π * 3/2 = 1.5 * π = 4.71 cm²
Answer: an area of 1.5π or 4.71 cm².
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