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Tangent Applications in Circles. More Problems Using Pythagorean Theorem. Point of Tangency. If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. 1. Find x. A. 12. B. 9. a 2 + b 2 = c 2. x. 9 2 + 12 2 = x 2.

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tangent applications in circles

Tangent Applications in Circles

More Problems Using

Pythagorean Theorem

slide2

Point of Tangency

If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

slide3

1. Find x

A

12

B

9

a2 + b2 = c2

x

92 + 122 = x2

x = 15

slide4

2. Find RQ

a2 + b2 = c2

122 + (QR)2 = (8+12)2

P

122 + (QR)2 = 202

12

8

RQ = 16

R

Q

slide5

3. Is BC tangent to the circle?

a2 + b2 = c2 ?

No

A

32

C

16

24

B

slide6

S

If two segments from the same exterior point are tangent to a circle, then they are congruent.

R

T