Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Areas of Circles and Sectors
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Exercise 4 Page 606

Use the formula to find the area of a circle. Recall that the diameter is twice the radius.

About 314.16 in^2

Practice makes perfect

We are given a circle with a diameter of 20 inches.

Our mission is to find the area of ⊙ C, for which we will use the following formula. A = π r^2 Before using the formula above, we need to find the radius of the circle. To do it, we recall that the diameter is twice the radius. d = 2r ⇒ 20 &= 2r ⇒ r &= 10 in Thus, to find the area we substitute r=20 into the formula above.
A = π r^2
A = π ( 10)^2
Simplify
A = π 100
A ≈ 314.16
In consequence, the area of ⊙ C is approximately 314.16 in^2.