4 years ago

#7. M is the midpoint of PQ, the diameter of the circle O is 13in. and RM = 4in.

Mathematics

1 answer:

Mice21 [21]4 years ago

7 0

Answer:

PM =6 in
PQ = 12 in

Step-by-step explanation:

MS = RS - RM

MS = 13 in - 4 in = 9 in

By the rules of crossing chords, ...

MS × MR = PM × QM

(9 in)(4 in) = PM² . . . . . QM = PM

PM = √(36 in²) = 6 in

PQ = PM + QM = 2×PM = 12 in

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