Question

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

Answer 1

Answer:

Data :

A circle whose radius is 3cm

To Construct :

To construct the pair of tangents to a circle which are inclined to each other at an angle of 60°.

Construction :

see the figure above

Steps of construction:

• Draw a circle with centre O of radius 3 cm such that OQ = 3cm.
• construct angle O =120° and name that point as R where the extended line of angle meet the circle.
• construct angle R = 90° and angle Q = 90 ° respectively.
• let these perpendiculars intersect each other at P. so, PQ is perpendicular to OQ and PR is perpendicular to OR.
• Hence, PQ and PR are the required tangents which are inclined to each at other at an angle of 60°.