Line PD is tangent to a circle of radius 1 inch centered at O. The length of segment PD is 1.2 inches. The length of segment AB is 1.7 inches. Han is trying to figure out if C or B is closer to P. He uses the Pythagorean Theorem to find the length of OP. Then he subtracts 1 from the length of OP to determine how far C is from point P. 1. How far is B from point P? 2. Which point is closest to P? 3. Explain your reasoning.

Line PD is tangent to a circle of radius 1 inch centered at O. The length of segment PD is 1.2 inches. The length of segment AB is 1.7 inches. Han is trying to figure out if C or B is closer to P. He uses the Pythagorean Theorem to find the length of OP. Then he subtracts 1 from the length of OP to determine how far C is from point P. 1. How far is B from point P? 2. Which point is closest to P? 3. Explain your reasoning.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...

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