Question

question 8 of 22
to the nearest hundredth, what is the area of a circle with a radius of 5 units?
a. 15.71 square units
b. 64.57 square units
c. 31.42 square units
d. 78.54 square units

Explanation:

Step1: Recall area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Substitute radius value

Given $r = 5$, we substitute into the formula: $A=\pi\times(5)^{2}=25\pi$.

Step3: Calculate and round

Using $\pi\approx3.14159$, $A = 25\times3.14159=78.53975$. Rounding to the nearest hundred - th gives $A\approx78.54$.

Answer:

D. 78.54 square units