Question

find the area of a circle with diameter 14 cm. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 14$ cm, so $r=\frac{d}{2}=\frac{14}{2}=7$ cm.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A = \pi r^{2}$. Substitute $r = 7$ cm and $\pi=3.14$ into the formula: $A=3.14\times7^{2}=3.14\times49 = 153.86$ $cm^{2}$.

Answer:

$153.86$ $cm^{2}$