Math Problem Statement
A secant PAB is drawn from an external point P to the circle with center at O, intersecting at A and B. If OP = 17 cm, PA = 12 cm, and PB = 22.5 cm, then the radius of the circle is:
Solution
Let's solve the provided questions step by step.
Q.5: Secant PAB is drawn from an external point P to a circle with center O, intersecting at A and B. Given OP = 17 cm, PA = 12 cm, and PB = 22.5 cm, find the radius of the circle.
- Using the secant-tangent theorem:
- Hence, this setup isn't typical, but assuming calculation approximation might reveal 4,√23 is closed.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Secants
Formulas
Secant-Tangent Theorem: OP^2 = PA * PB
Theorems
Secant-Tangent Theorem
Suitable Grade Level
Grades 9-10
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