Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the circumference and the area of a circle with radius 8 ft. use t…

Question

find the circumference and the area of a circle with radius 8 ft. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. circumference: area: ft ft² ft³

Explanation:

Step1: Calculate Circumference

The formula for the circumference of a circle is \( C = 2\pi r \). Given \( r = 8 \) ft and \( \pi = 3.14 \), substitute the values:
\( C = 2 \times 3.14 \times 8 \)
\( C = 50.24 \) ft

Step2: Calculate Area

The formula for the area of a circle is \( A = \pi r^2 \). Substitute \( r = 8 \) ft and \( \pi = 3.14 \):
\( A = 3.14 \times 8^2 \)
\( A = 3.14 \times 64 \)
\( A = 200.96 \) square feet

Answer:

Circumference: \( 50.24 \) ft
Area: \( 200.96 \) \( \text{ft}^2 \)