Question

The length of a tangent from a point A at distance 10cm from the centre of the circle is 8 cm find the radius of the circle

Answer 1

Answer:

Step-by-step explanation:

Length of tangent = 8cm

Length of tangent from the centre of circle= 10cm

Since,radius and tangent at the point of contact are perpendicular

A^2=H^2-O^2

=100-64

=36

A=6cm

r=6cm

Answer 2

*ANSWER*

6

Step-by-step explanation:

MATHS

From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. Find the radius of the circle.

Share

Study later

ANSWER

Let O be the centre of the given circle and let P be a point such that OP = 10 cm.

Let PT be the tangent such that PT = 8 cm.

Join OT.

Now, PT is a tangent at T and OT is the radius through T.

Therefore, OT⊥PT.

Using pythagoras theorem in △OTP, we have,

OP ² =OT ²+PT ²

OT ²

=100−64=36

OT=6 cm

Therefore, the radius of the circle is 6 cm.