solve circle question
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Heya!
Join OQ
OQ = OR = 17cm ( radius)
Using pythagoras theorem in triangle OMQ
OQ² = OM² + MQ²
17² - 8² = MQ²
289-64 = mq²
225 = MQ²
MQ = 15
PQ = 2MQ = 30cm
Answered by
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Answer:
PQ = 30cm.
Step-by-step explanation:
Join OP and OQ
In rt. angled triangle APM,
OP² = OM² + PM²
17² = 8² + PM²
17² - 8² = PM²
(17+8)(17-8) = PM²
25*9 = PM²
PM = √25 * √9
= 5 * 3
=15cm.
Perpendicular drawn from the center to the bisects the chord.
∴PM = MQ
∴PQ = 2 PM
∴PQ = 2*15
PQ= 30 cm.
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