Question

the radius of a circle is 17 millimeters. what is the circles area? round your answer to the nearest hundredth. _______ square millimeters

Explanation:

Step1: Recall circle area formula

The area of a circle is given by $A = \pi r^2$, where $r$ is the radius.

Step2: Substitute radius value

Substitute $r = 17$ into the formula:
$A = \pi \times (17)^2$

Step3: Calculate the squared radius

$17^2 = 289$, so $A = 289\pi$

Step4: Compute numerical value

Use $\pi \approx 3.14159$:
$A \approx 289 \times 3.14159 = 907.92051$

Step5: Round to nearest hundredth

Round $907.92051$ to two decimal places: $907.92$

Answer:

907.92 square millimeters