Question

the length of tangent from a point of distance 15 cm from the centre of the circle is 12 cm find radius of the circle​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

Consider two circles of radii 12cm and 4cm with centers B and A respectively.

The length of direct common tangent to both the circles is 15cm.

CD=15 cm

CD=BE=15 cm

AE=AC−CE

AE=12−4=8 cm

AB=x cm

In the right triangle BEA,

Using Pythagoras theorem,

BE

2

+EA

2

=BA

2

x

2

=8

2

+15

2

x

2

=289

x=17 cm

Hence, the given statement is true.

solution

Answer 2

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