Question

the diameter of a circle is 34 feet. what is the circles area?
round your answer to the nearest hundredth.

square feet

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 34 \) feet, so \( r=\frac{d}{2}=\frac{34}{2}=17 \) feet.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 17 \) into the formula: \( A=\pi\times(17)^{2}=\pi\times289 \).
Using \( \pi\approx3.14159265 \), then \( A\approx3.14159265\times289 = 907.92027685 \).

Answer:

\( 907.92 \) square feet