Question

find the area, to the nearest hundredth, of the circle with a circumference of 10 centimeters. use 3.14 for π. enter the correct answer in the box. cm²

Explanation:

Step1: Find radius from circumference

The circumference formula is $C = 2\pi r$. Rearrange to solve for $r$:
$r = \frac{C}{2\pi}$
Substitute $C=19$ and $\pi=3.14$:
$r = \frac{19}{2\times3.14} = \frac{19}{6.28} \approx 3.0255$

Step2: Calculate circle area

Use area formula $A = \pi r^2$:
$A = 3.14 \times (3.0255)^2$
First compute $(3.0255)^2 \approx 9.1536$, then:
$A \approx 3.14 \times 9.1536 \approx 28.74$

Answer:

28.74 cm²