Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
2. Area of Circles
Continue to next subchapter

Exercise 6 Page 627

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

About 33.2yd^2

Practice makes perfect

We are given that a circle has a radius of 3 14 yards.

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= 3 14. Let's calculate the area using this information. We can use 3.14 for π.
A = π r^2
A = π [( 3 14)^2]

π ≈ 3.14

A ≈ 3.14 [(3 14)^2]
Write mixed number as a fraction
A ≈ 3.14 [(3* 4 + 1/4)^2]
A ≈ 3.14 [(12 + 1/4)^2]
A ≈ 3.14 [(13/4)^2]
A ≈ 3.14 [13^2/4^2]
A ≈ 3.14 [169/16]
A ≈ 3.14 * 169/16
A ≈ 530.66/16
A ≈ 33.16625
A ≈ 33.2
We found that A ≈ 33.2, which means that the area of the circle is about 33.2 square yards.