Question

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

Answer 1

Answer:

Since OA is the radius, so PA has to be a tangent to the circle. Similarly, PC is also tangent to the circle. Hence, tangents PA and PC are inclined to each other at an angle of 60

Answer 2

Answer:

Steps of Construction: Step I: Draw a circle with centre O and radius 3 cm. Step II: Draw any diameter AOB. Step III: Draw a radius OC such that ∠ BOC = 60°. Step IV: At C, we draw CM ⊥ OC and at A, we draw AN ⊥ OA. Step V: Let the two perpendiculars intersect each other at P. Then, PA and PC are required tangents. Justification: Since OA is the radius, so PA has to be a tangent to the circle. Similarly, PC is also tangent to the circle. ∠APC = 360° – (∠OAP + ∠OCP + ∠AOC) = 360° – (90° + 90° + 120°) = 360° – 300° = 60° Hence, tangents PA and PC are inclined to each other at an angle of 60°.Read more on Sarthaks.com - https://www.sarthaks.com/37572/draw-circle-radius-draw-pair-tangents-this-circle-which-are-inclined-each-other-angle-60

Step-by-step explanation: