7. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm . Find the length PQ.
Answers
Answered by
2
Step-by-step explanation:
The line drawn from the centre of the circle to the tangent is perpendicular to the tangent.
∴ OP ⊥ PQ By Pythagoras theorem in ΔOPQ,
OQ² = OP² + PQ²
⇒ (12)² = 5² + PQ²
⇒PQ² = 144 - 25
⇒PQ² = 119
⇒PQ = √119 cm
Attachments:
Similar questions