Question

find the area of a circle with a circumference of 18.84 units. units²

Explanation:

Step1: Recall circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. We know \( C = 18.84 \), and we can use \( \pi \approx 3.14 \). So we solve for \( r \):
\( 18.84 = 2\times3.14\times r \)
\( 18.84 = 6.28r \)

Step2: Solve for radius \( r \)

Divide both sides by \( 6.28 \):
\( r=\frac{18.84}{6.28}=3 \)

Step3: Recall area formula

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Now we substitute \( r = 3 \) and \( \pi\approx3.14 \):
\( A = 3.14\times3^{2} \)

Step4: Calculate the area

First, \( 3^{2}=9 \), then \( 3.14\times9 = 28.26 \)

Answer:

\( 28.26 \)