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

Answer 1

To calculate the circumference and the area of a circular flower bed, you'll need to use the following formulas:

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

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

Given that the diameter of the flower bed is 14 feet, we can find the radius \( r \) as follows: \[ r = \frac{d}{2} = \frac{14\ \text{feet}}{2} = 7\ \text{feet} \]

Now, we can calculate the circumference. \[ C = \pi \times 14\ \text{feet} \approx 3.14 \times 14 \approx 43.96\ \text{feet} \]

Next, we calculate the area. \[ A = \pi \times (7\ \text{feet})^2 = \pi \times 49\ \text{square feet} \approx 3.14 \times 49 \approx 153.86\ \text{square feet} \]

Thus, the circumference of the circular flower bed is approximately 43.96 feet and the area is approximately 153.86 square feet.