Question

kari is going to eat a round lollipop that has a radius of 17 millimeters. what is the lollipops area? if necessary, round your answer to the nearest hundredth. square millimeters

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 17\) millimeters. Substitute \(r = 17\) into \(A=\pi r^{2}\), we get \(A=\pi\times(17)^{2}\).
First, calculate \((17)^{2}=17\times17 = 289\). So \(A = 289\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(A=289\times3.14159\).
\(289\times3.14159=(300 - 11)\times3.14159=300\times3.14159-11\times3.14159\)
\(300\times3.14159 = 942.477\), \(11\times3.14159=34.55749\)
\(A=942.477-34.55749 = 907.91951\approx907.92\)

Answer:

\(907.92\)