Question

geometry
circumference and area of a circle
find the area and the circumference of a circle with radius 2 m.
use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers.
circle image with radius 2 m
area:
m m² m³
circumference:
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Explanation:

Step1: Calculate the area of the circle

The formula for the area of a circle is \( A = \pi r^2 \). Given \( r = 2 \, \text{m} \) and \( \pi = 3.14 \), substitute the values:
\( A = 3.14 \times (2)^2 = 3.14 \times 4 = 12.56 \, \text{m}^2 \).

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \( C = 2\pi r \). Substitute \( r = 2 \, \text{m} \) and \( \pi = 3.14 \):
\( C = 2 \times 3.14 \times 2 = 12.56 \, \text{m} \).

Answer:

Area: \( 12.56 \, \text{m}^2 \)
Circumference: \( 12.56 \, \text{m} \)