Question

find the circumference and the area of a circle with diameter 3 ft. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. (there is an image of a circle with diameter 3 ft, and input fields for circumference and area with unit options ft, ft², ft³)

Explanation:

Step1: Find Circumference

The formula for the circumference of a circle is \( C = \pi d \), where \( d \) is the diameter. Given \( d = 3 \) ft and \( \pi = 3.14 \), we substitute:
\( C = 3.14 \times 3 = 9.42 \) ft.

Step2: Find Radius for Area

The radius \( r \) is half the diameter: \( r = \frac{d}{2} = \frac{3}{2} = 1.5 \) ft.

Step3: Find Area

The formula for the area of a circle is \( A = \pi r^2 \). Substituting \( r = 1.5 \) ft and \( \pi = 3.14 \):
\( A = 3.14 \times (1.5)^2 = 3.14 \times 2.25 = 7.065 \) \( \text{ft}^2 \).

Answer:

Circumference: \( 9.42 \) ft
Area: \( 7.065 \) \( \text{ft}^2 \)