Question

if two tangents inclined at an angle of 60 degree are drawn to a circle of radius 6 CM then the length of each tangent is​

Answer 1

Answer:

if two tangents inclined at an angle of 60 degree are drawn to a circle of radius 6 CM then the length of each tangent is

Step-by-step explanation:

Suppose O be the centre of the circle and PA and PB be the two tangents drawn from P to the circle so that angle APB= 60°

Join OP,OA and OB.

Then angle OAP= angle OBP = 90° and

angle OPA = angle OPB = 30°

OA = OB = 3 cm.

In the right triangle OAP,

OA/AP = tan 30° => 3/AP = 1/√3

So AP= 3√3cm or3×1.732=5.196 cm

So length of each tangent = 5.196 cm

Answer 2

GIVEN :

two tangents inclined at an angle of 60 degree are drawn to a circle of radius 6 CM

TO FIND :

then the length of each tangent is

SOLUTION :

Suppose O be the centre of the circle and PA and PB be the two tangents drawn from P to the circle so that angle APB= 60°

Join OP,OA and OB.

Then angle OAP= angle OBP = 90° and

angle OPA = angle OPB = 30°

OA = OB = 3 cm.

In the right triangle OAP,

OA/AP = tan 30° => 3/AP = 1/√3

So AP= 3√3cm or3×1.732=5.196 cm

So length of each tangent = 5.196 cm.