Question

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

Explanation:

Step1: Find the radius

The diameter \( d = 34 \) km, and the radius \( r=\frac{d}{2}\). So \( r=\frac{34}{2} = 17 \) km.

Step2: Use the area formula for a circle

The area of a circle is \( A=\pi r^{2}\). Substitute \( r = 17 \) into the formula: \( A=\pi\times17^{2}=\pi\times289\approx3.14159\times289\).

Step3: Calculate and round

\( 3.14159\times289 = 907.92051 \). Rounding to the nearest hundredth gives \( 907.92 \).

Answer:

\( 907.92 \)