Question

what is the approximate area of the circle shown below? 16 cm c a. 804 cm² b. 50 cm² c. 25 cm² d. 201 cm²

Explanation:

Step1: Find the radius

The diameter $d = 16$ cm, and the radius $r=\frac{d}{2}=\frac{16}{2}=8$ cm.

Step2: Use the area formula

The formula for the area of a circle is $A = \pi r^{2}$. Substitute $r = 8$ cm into the formula, so $A=\pi\times8^{2}=64\pi$ cm².

Step3: Approximate the value

Taking $\pi\approx3.14$, then $A\approx64\times3.14 = 200.96\approx201$ cm².

Answer:

D. 201 cm²