Q. 34.5( 2 Votes )

# In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the center of the circle, then length OP = ?A. 30 cmB. 28 cmC. 25 cmD. 18 cm

We have given, PT is a tangent drawn at point T on the circle.

OT TP

[Tangents drawn at a point on circle is perpendicular to the radius through point of contact]

So, In OTP we have,

By Pythagoras Theorem,

[i.e. (Hypotenuse)2 = (Base)2 + (Perpendicular)2]

(OP)2 = (OT)2 + (PT)2

(OP)2 = (7)2 + (24)2

(OP)2 = 49 + 576

(OP)2 = 625

OP = 25 cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Imp. Qs. on Circle35 mins
Quiz | Imp. Qs. on Circles37 mins
Quiz | Testing Your Knowledge on Circles32 mins
Short Cut Trick to Find Area of Triangle43 mins
Quiz | Areas Related to Circles43 mins
RD Sharma | Area of Sector and Segments25 mins
Quiz | Area Related with Circles47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses