Question

find the area, to the nearest hundredth, of the circle with a circumference of 6.28 miles. use 3.14 for π. enter the correct answer in the box. show hints mi²

Explanation:

Step1: Solve for radius from circumference

The circumference formula is $C=2\pi r$. Rearrange to solve for $r$:
$r=\frac{C}{2\pi}$
Substitute $C=6.28$, $\pi=3.14$:
$r=\frac{6.28}{2\times3.14}=1$

Step2: Calculate area of the circle

Use the area formula $A=\pi r^2$. Substitute $r=1$, $\pi=3.14$:
$A=3.14\times1^2=3.14$

Answer:

3.14