Question

what is the area of the circle below? use π = 3.14 to solve. round your answer to the nearest hundredth. 4 cm 48.64 cm² 50.24 cm² 56.84 cm²

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \( A=\pi r^{2} \), where \( r \) is the radius of the circle. From the diagram, the radius \( r = 4\space\text{cm}\) and \( \pi=3.14 \).

Step2: Substitute the values into the formula

Substitute \( r = 4 \) and \( \pi = 3.14 \) into the formula \( A=\pi r^{2} \). So we have \( A=3.14\times(4)^{2} \).

Step3: Calculate the value of \( (4)^{2} \)

First, calculate \( 4^{2}=16 \).

Step4: Multiply to find the area

Then, multiply \( 3.14\times16 \). \( 3.14\times16 = 50.24 \).

Answer:

\( 50.24\space\text{cm}^2 \) (corresponding to the option "50.24 \( \text{cm}^2 \)")