Question

a circles diameter is 4 centimeters. what is the circles area? use 3.14 or a calculator button for pi and provide an answer accurate to the nearest tenth.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 4$ cm, so $r=\frac{d}{2}=\frac{4}{2}=2$ cm.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 2$ cm and $\pi=3.14$ into the formula: $A = 3.14\times2^{2}=3.14\times4 = 12.56$ $cm^{2}$.

Step3: Round to the nearest tenth

Rounding $12.56$ to the nearest tenth gives $12.6$ $cm^{2}$.

Answer:

$12.6$ $cm^{2}$