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### Question Description

circle o has a radius OC that is 5 cm. chord AB is 8 cm and is perpendicular to OC at point p. what is the length of OP in centimeters?

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## Explanation & Answer

OA = OB = 5 cm

AB = 8 cm

AP = PB = 8/2 = 4 cm

Triangle OPA is a right triangle with <OPA = 90 degrees

so OP = sqrt (5^2-4^2)

= 3 cm

**Please let me know if you have any questions and best me if you are satisfactory.**

Tbcny_E
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UC Berkeley

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