Core Connections: Course 3
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2. Section 9.2
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Exercise 98 Page 427

Practice makes perfect

Let's consider the given circle.

Circle
We want to find the area of the circle. Recall that the area A of a circle equals the product of π and the square of its radius r. A = π r^2 In this case, r= 8. Let's calculate the area using this information.
A = π r^2
A = π ( 8^2)
A=π(64)
A=64π
A=201.061929...
A≈ 201.06
We found that A ≈ 201.06, which means that the area of the circle is about 201.06 square centimeters.
We are given the following circle.
Circle
Let's find the area of the circle the same way we did in Part A. Since the diameter of the circle is 60 centimeters, the radius of the circle is ( 12* 60) centimeters, or 30 centimeters.
A = π r^2
A = π ( 30^2)
A=π(900)
A=900π
A=2827.433388...
A≈ 2827.43
We found that A ≈ 2827.43, which means that the area of the circle is about 2827.43 square centimeters.