Question

the diameter of a circle is 5 ft. find its area to the nearest tenth.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 5$ ft, so $r=\frac{d}{2}=\frac{5}{2}=2.5$ ft.

Step2: Use the area formula

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 2.5$ ft into the formula, we get $A=\pi\times(2.5)^{2}=\pi\times6.25$.

Step3: Calculate the area

Taking $\pi\approx3.14$, then $A\approx3.14\times6.25 = 19.625$ square - feet.

Step4: Round to the nearest tenth

Rounding $19.625$ to the nearest tenth gives $19.6$ square - feet.

Answer:

$19.6$ square feet