Question

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

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 \(r = 17\) cm. 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

Taking \(\pi\approx3.14159265\), then \(A=289\times3.14159265\). \(289\times3.14159265=(300 - 11)\times3.14159265=300\times3.14159265-11\times3.14159265\). \(300\times3.14159265 = 942.477795\), \(11\times3.14159265=34.55751915\). \(A=942.477795- 34.55751915=907.92027585\approx907.92\)

Answer:

\(907.92\)