Question

the diameter of a circle is 13 m. 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 $d = 13$ m, so $r=\frac{d}{2}=\frac{13}{2}=6.5$ m.

Step2: Calculate the area.

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 6.5$ m into the formula: $A=\pi\times(6.5)^{2}=\pi\times42.25\approx 3.14\times42.25 = 132.665$ m².

Step3: Round to the nearest tenth.

Rounding $132.665$ to the nearest tenth gives $132.7$ m².

Answer:

$132.7$ m²