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