Question

Draw a pair of tangent to a circle of radius 5cm which are inclined to each other at an angle of 70 degree​

Answer 1

Answer:

1st Make a circle of radius 5cm, then make a tangent to it. Join this Tangent to the centre. Now The angle in between the radii perpendicular to the tangents will be two times the angle in between the tangents.

So draw a radius at an angle of 150° to the 1st radius, and then finally join the point of intersection of the radius to the tangent perpendicularly.

please mark me as brainlist

Answer 2

*PLEASE REFER TO THE PICTURE FOR THE DIAGRAM.

GIVEN

Radius of the circle = 5 cm

Angle between the tangents = 70°

TO FIND

To construct a pair of tangents to a circle.

SOLUTION

We can simply solve the above problem as follows;

We are given that angle between two tangents = 70°

We know that the tangents are perpendicular to the point of a circle.

Now,

We have three angles, 90°,90°, and 70°

We know that sum of interior angles of a quadrilateral = 360°

The angle subtended by the pair of tangents at the center = 360- 250 = 110°

Now, we will draw a circle with a radius of 5 cm. The two radii of the circle are subtended at an angle of 110°.

Draw tangents from the point touching the radii of the circle.

The angle between two tangents = 70°

#SPJ2