Question

what is the approximate area of the circle shown below? 14 cm c a. 44 cm² b. 22 cm² c. 154 cm² d. 616 cm²

Explanation:

Step1: Identify radius

The diameter $d = 14\ cm$, so the radius $r=\frac{d}{2}=\frac{14}{2}=7\ cm$.

Step2: Use area - formula

The area formula of a circle is $A = \pi r^{2}$. Using $\pi\approx\frac{22}{7}$, we have $A=\frac{22}{7}\times7^{2}$.

Step3: Calculate area

$A=\frac{22}{7}\times49 = 22\times7=154\ cm^{2}$.

Answer:

C. $154\ cm^{2}$