from a point q the length of the tangent to a circle is 24cm and the distance of q from the centre is 25cm .The radius of the circle is A.7cm B.12cm C.15cm D.24.5cm.
Answer fast Friends
Answers
Answered by
34
Answer:
Let O be the centre of the circle.
Given that,
OQ= 25cm and PQ= 24 cm
As the radius is perpendicular to the tangent the point of contact,
Therefore, OP LPQ
Applying Pythagoras theorem in AOPQ, wei obtain
OP2 + PQ2= 0Q2
OP2 + 242 = 252
OP2- 625-576
OP2=49
OD=7
Therefore, the radius of the circle is 7 cm.
Attachments:
Similar questions