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McGraw Hill Integrated II, 2012 View details

1. Circles and Circumference

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Exercise 5 Page 719

Use the Segment Addition Postulate.

14 in.

Practice makes perfect

Consider the given diagram.

To find FG, we will use the Segment Addition Postulate. Let's first recall the relationship between a radius and a diameter of a circle. r=d/2 We are given that the diameter of ⊙ A is 8 inches, so its radius AF=8 ÷ 2 = 4 inches. We are also given that the diameter of ⊙ B is 18 inches, so AG= 18 inches. With this information, we can find FG.

AF + FG = AG

SubstituteII

AF= 4, AG= 18

4 + FG = 18

SubEqn

LHS-4=RHS-4

FG=14