Question

the diameter of a circle is 26 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 \( d = 26 \) mm, so \( r=\frac{d}{2}=\frac{26}{2} = 13 \) mm.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 13 \) into the formula: \( A=\pi\times13^{2}=\pi\times169\approx3.14159\times169 \). Calculate \( 3.14159\times169 = 530.92971 \). Round to the nearest hundredth, we get \( 530.93 \).

Answer:

\( 530.93 \)