Question

The radius of the center circle on a soccer field is 10 yards. What are the circumference (C) and the area (A) of the center circle in yards?

Round answers to the nearest whole numbers and use 3.14 for pi.

A. C=31 yd; A=986 yd2
B. C=63 yd; A=314 yd2
C. C=31 in; A=986 in2
D. C=63 in; A=314 in2

Answer 1

To find the circumference and area of the center circle, we can use the formulas:

1. Circumference (C) = 2 * π * r, where r is the radius.
2. Area (A) = π * r².

Given that the radius (r) of the center circle is 10 yards and using π ≈ 3.14:

**Calculating Circumference:**
\[
C = 2 * 3.14 * 10 = 62.8 \text{ yards}
\]
Rounding to the nearest whole number gives:
\[
C \approx 63 \text{ yards}
\]

**Calculating Area:**
\[
A = 3.14 * (10^2) = 3.14 * 100 = 314 \text{ square yards}
\]

Thus, rounding to the nearest whole number gives:
\[
A \approx 314 \text{ square yards}
\]

So, the final answers are:
- Circumference ≈ 63 yards
- Area ≈ 314 square yards

The correct option is:
**B. C=63 yd; A=314 yd²**