Question

the diameter of a circle is 26 millimeters. what is the circles area? round your answer to the nearest hundredth. square millimeters

Explanation:

Step1: Calculate the radius

The radius $r$ is half the diameter.
$r = \frac{26}{2} = 13$ mm

Step2: Apply circle area formula

Use the area formula $A = \pi r^2$.
$A = \pi \times 13^2 = 169\pi$

Step3: Compute and round the value

Calculate the numerical value and round to the nearest hundredth.
$169\pi \approx 169 \times 3.1416 = 530.93$

Answer:

530.93 square millimeters