Question

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the circular flower bed.

Answer 1

To find the circumference and area of a circular flower bed, you can use the following formulas:

1. **Circumference (C)**:
\[
C = \pi d
\]
where \(d\) is the diameter.

2. **Area (A)**:
\[
A = \pi r^2
\]
where \(r\) is the radius.

Given that the diameter of the flower bed is 10 feet, we can calculate:

- **Radius (r)**:
\[
r = \frac{d}{2} = \frac{10 \text{ feet}}{2} = 5 \text{ feet}
\]

Now, we can calculate the circumference:

- **Circumference**:
\[
C = \pi \times 10 \text{ feet} \approx 3.14 \times 10 \text{ feet} \approx 31.4 \text{ feet}
\]

Next, we calculate the area:

- **Area**:
\[
A = \pi \times (5 \text{ feet})^2 = \pi \times 25 \text{ square feet} \approx 3.14 \times 25 \text{ square feet} \approx 78.5 \text{ square feet}
\]

Therefore, the calculations yield:

- **Circumference**: approximately 31.4 feet
- **Area**: approximately 78.5 square feet