Question

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

Answer 1

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

1. **Circumference (C)** of a circle is calculated using the formula:
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle.

2. **Area (A)** of a circle is calculated using the formula:
\[
A = \pi \times r^2
\]
where \( r \) is the radius of the circle.

Given that the diameter of the flower bed is 12 feet, we first need to find the radius:
\[
r = \frac{d}{2} = \frac{12 \text{ ft}}{2} = 6 \text{ ft}
\]

**Now, let's calculate the circumference:**
\[
C = \pi \times 12 \text{ ft} \approx 3.14 \times 12 \text{ ft} \approx 37.68 \text{ ft}
\]

**Now, let's calculate the area:**
\[
A = \pi \times (6 \text{ ft})^2 = \pi \times 36 \text{ ft}^2 \approx 3.14 \times 36 \text{ ft}^2 \approx 113.04 \text{ ft}^2
\]

**Summary:**
- Circumference of the flower bed: approximately **37.68 feet**
- Area of the flower bed: approximately **113.04 square feet**