Question

to draw a pair of tangent to a circle inclined at 40 degree, the angle at the centre of the circle between two radii is​

Answer 1

The answer is 140 degree

Answer 2

Given : a pair of tangents to a circle inclined at 40°,

To Find : the angle at the center  of the circle between the two radii is

A) 40°

B) 90°

C) 140°

D) 180°

Solution:

Let say O is the center  .  PA and PB are tangent inclined at 40°

∠OAP = ∠OBP = 90°  Tangent

∠APB = 40°  given

Sum of all angles of Quadrilateral  360°

=> ∠AOB +  ∠OAP +  ∠OBP + ∠APB = 360°

=> ∠AOB +  90°  +  90°  + 40°  = 360°

=>∠AOB   = 140°

angle at the centre of the circle between the two radii ∠AOB   = 140°

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