What is the area of a circle whose circumference is 62cm rounded to the nearest whole number?913cm2306cm2153cm276cm2
Question
What is the area of a circle whose circumference is 62cm rounded to the nearest whole number?
- 913cm
- 2306cm
- 2153cm
- 276cm²
Solution
To find the area of a circle from its circumference, we first need to find the radius. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Step 1: Solve the formula for r. r = C / (2π)
Step 2: Substitute the given circumference (C = 62 cm) into the formula. r = 62 cm / (2π) ≈ 9.87 cm
Step 3: Now that we have the radius, we can find the area using the formula A = πr². A = π * (9.87 cm)² ≈ 306 cm²
So, the area of the circle is approximately 306 cm² when rounded to the nearest whole number.
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