Question

find the area and the circumference of a circle with radius 7 ft. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers.

Explanation:

Step1: Calculate the area of the circle

The formula for the area of a circle is \( A = \pi r^2 \). Given \( r = 7 \) ft and \( \pi = 3.14 \), we substitute these values into the formula:
\( A = 3.14 \times 7^2 \)
\( A = 3.14 \times 49 \)
\( A = 153.86 \) square feet.

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \( C = 2\pi r \). Substituting \( r = 7 \) ft and \( \pi = 3.14 \):
\( C = 2 \times 3.14 \times 7 \)
\( C = 6.28 \times 7 \)
\( C = 43.96 \) feet.

Answer:

Area: \( 153.86 \) square feet
Circumference: \( 43.96 \) feet