Question

The length of tangent drawn from a point 8 cm away from the centre of circle of radius 6 cm. Tell me the process, answer is 2√7 cm.​

Answer 1

Answer:

Let O be the centre of the circle. OA is the radius of the circle and OP is 8 cm

According to question, we have

∠OAP=90

0

So,cby Pythagoras theorem,cwe get

OP

2

=OA

2

+AP

2

⇒AP

2

=OP

2

−OA

2

⇒AP

2

=8

2

−6

2

⇒AP

2

=64−36

⇒AP

2

=28

⇒AP=2

7

cm