Question

the diameter of a circle is 52 millimetres. what is the circles area? round your answer to the nearest hundredth. square millimetres

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 52 \) millimetres, so \( r=\frac{d}{2}=\frac{52}{2} = 26 \) millimetres.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 26 \) into the formula: \( A=\pi\times(26)^{2}=\pi\times676\approx3.14159\times676 \).
Calculate \( 3.14159\times676 = 2123.71684 \).

Step3: Round to the nearest hundredth

Rounding \( 2123.71684 \) to the nearest hundredth gives \( 2123.72 \).

Answer:

\( 2123.72 \)