Question

what is the approximate area of the circle shown below? 80 cm c a. 2827 cm² b. 94 cm² c. 11,310 cm² d. 188 cm²

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Identify radius

From the figure, the radius $r = 30\ cm$.

Step3: Calculate area

$A=\pi\times(30)^{2}=900\pi$. Taking $\pi\approx 3.14$, we have $A\approx900\times3.14 = 2826\ cm^{2}$, which is closest to option A.

Answer:

A. $2827\ cm^{2}$