Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
2. Area of Circles
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Exercise 30 Page 629

The area of a semicircle equals half the product of π and the square of its radius.

About 307.7in.^2

Practice makes perfect

We are told that a window has the shape of a semicircle with a diameter of 28 inches.

Circle
We want to find the area of the window. Recall that the area A of a semicircle equals half the product of π and the square of its radius r. A = 1/2 π r^2 Since the diameter of the window is 28 inches, the radius of the window is ( 12* 28) inches or 14 inches. Let's calculate the area using this information. We can use 3.14 as an estimation of π.
A = 1/2 π r^2
A = 1/2 π ( 14^2)

π ≈ 3.14

A ≈ 1/2 (3.14) (14^2)
A ≈ 1/2 (3.14) (196)
A ≈ 0.5 (3.14) (196)
A ≈ 307.72
A ≈ 307.7
We found that A ≈ 307.7, which means that the area of the window is about 307.7 square inches.