Question

A tangent PA touches the circle with centre O at A, such that distance between P And O is 8 cm and angle APO =30° , then radius of circle is _______​

Answer 1

Answer:

the length of a tangent to a circle from point is 0.5 cm and distance of a point fne its centre is 1.5 cm, then find its radius.

Step-by-step explanation:

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Answer 2

Given-  

O is the centre of a circle of radius=OT=OR=5cm. PT is the tangent to the circle from P at T. OP=13cm. To find out- PT=?

Solution-

∠OTP=90  

o

 since the tangent to a circle makes 90  

o

 angle with the radius at the point of contact.  

∴ΔOTP is a right one with OP as the hypotenuse.  

So, applying Pythagoras theorem, we have PT=  

OP  

2

−OT  

2

 

​  

=  

13  

2

−5  

2

 

​  

cm=12cm

Thus the correct answer is 12cm