Question

Draw a pair of tangents to a circle of radius 3.5 cm which inclined to each other at the angle 60


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Answer 1

Given:

• radius of the circle = 3.5cm

To Construct:

pairs of tangant which inclined to each other at angle 60°

Steps of Construction:

${\boxed{\sf{\red{⊱\:step\:1}}}}$:

• Draw a circle with centre O and radius 3.5cm

${\boxed{\sf{\red{⊱\:step\:2}}}}$:

• Draw any diameter AOB of this circle

${\boxed{\sf{\red{⊱\:step\:3}}}}$:

• Construct ∠BOC = 60° such that the radius OC meets the circle at C

${\boxed{\sf{\red{⊱\:step\:4}}}}$:

• Draw MA||AB and NC||OC

⠀⠀⠀Let AM and CN intersect at P

$\bf\underline{then,}$

PA and CN are the required tangants to the given circle that are inclined at an angle of 60°