Question

question 10
1 pts
a circle has a diameter of 22 feet. approximate its area.
round your final answer to the nearest hundredth. you do not need to include units. you only need to enter the appropriate value.

Explanation:

Step1: Find the radius.

The radius $r$ of a circle is half of the diameter $d$. Given $d = 22$ feet, so $r=\frac{d}{2}=\frac{22}{2}=11$ feet.

Step2: Calculate the area.

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 11$ into the formula, we get $A=\pi\times(11)^{2}=121\pi$.

Step3: Approximate the value.

Using $\pi\approx3.14159$, then $A\approx121\times3.14159 = 379.94239$. Rounding to the nearest hundred - th, $A\approx379.94$.

Answer:

379.94