Question

construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at angle of 60 degree ​

Answer 1

Step By Step explanation.

• First mark a centre O and make a circle of r = 3cm.

• Then make any radius on it.

• On the radius construct an angle of 120°

( using the angle sum prop. in the quadrilateral formed by the 2 radii and the 2 tangents; the angle at with radii are inclined and the angle at which tangents are inclined will be supplementary )

• Extend the angle such that it meets the circumference of the circle .This will be our new radius

• From both the Radii make ⊥ and extend these ⊥ rays.

• These rays will intersect at Point P and this the point from which the 2 tangents are made.

A rough illustration given.

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