Question

the diameter of a circle is 24.2 kilometers. what is the circles area? round your answer to the nearest hundredth. square kilometers submit

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 24.2 \) km, so \( r=\frac{d}{2}=\frac{24.2}{2} = 12.1 \) km.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 12.1 \) into the formula: \( A=\pi\times(12.1)^{2} \). First, calculate \( (12.1)^{2}=12.1\times12.1 = 146.41 \). Then, \( A=\pi\times146.41\approx3.14159\times146.41\approx459.73 \) (rounded to the nearest hundredth).

Answer:

459.73