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