Question

he 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
.

Answer 1

To find the circumference (c) and area (a) of a circle, we can use the following formulas:

1. **Circumference (c)**:
\[
c = 2 \times \pi \times r
\]
where \( r \) is the radius.

2. **Area (a)**:
\[
a = \pi \times r^2
\]

Given that the radius \( r = 10 \) yards and using \( \pi \approx 3.14 \):

### Calculate the Circumference
\[
c = 2 \times 3.14 \times 10 = 62.8
\]
Rounding to the nearest whole number:
\[
c \approx 63 \text{ yards}
\]

### Calculate the Area
\[
a = 3.14 \times (10)^2 = 3.14 \times 100 = 314
\]
Rounding to the nearest whole number:
\[
a \approx 314 \text{ square yards}
\]

### Summary of Results
- Circumference: **63 yards**
- Area: **314 square yards**