Question

find the circumference and the area of a circle with radius 3 m. 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 Circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. Given \( r = 3 \, \text{m} \) and \( \pi = 3.14 \).
\[
C = 2 \times 3.14 \times 3
\]
\[
C = 18.84 \, \text{m}
\]

Step2: Calculate Area

The formula for the area \( A \) of a circle is \( A = \pi r^2 \). Given \( r = 3 \, \text{m} \) and \( \pi = 3.14 \).
\[
A = 3.14 \times 3^2
\]
\[
A = 3.14 \times 9
\]
\[
A = 28.26 \, \text{m}^2
\]

Answer:

Circumference: \( 18.84 \, \text{m} \)
Area: \( 28.26 \, \text{m}^2 \)