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Tangent Applications in Circles

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

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  1. Tangent Applications in Circles More Problems Using Pythagorean Theorem

  2. 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.

  3. 1. Find x A 12 B 9 a2 + b2 = c2 x 92 + 122 = x2 x = 15

  4. 2. Find RQ a2 + b2 = c2 122 + (QR)2 = (8+12)2 P 122 + (QR)2 = 202 12 8 RQ = 16 R Q

  5. 3. Is BC tangent to the circle? a2 + b2 = c2 ? No A 32 C 16 24 B

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

  7. 4. Find x R S T

  8. 5. Find x R S T

  9. 6. Find x. B A C P D E

  10. 7. Find NP N T S P R Q

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