Question

draw a circle of radius 6cm consruct a tangent making an angle of 30 with line passing through the centre plz answer fast

Answer 1

I didn't understand the question

Answer 2

Step-by-step explanation:

Follow the given steps to construct a tangent to the circle.

Step1: Take a point O and draw a circle of radius, OA = 6 cm.

Step2: Produce OA to B such that OA = AB = 6 cm

Step3: Taking A as centre, draw a circle of radius AD = AB = 6 cm. Let it intersect the circle in P.

Step4: Join BP

BP is the required tangent to the circle.

OA = OP (Radius of circle with centre O)

AP = OP (Radius of circle with centre A)

∴ OA = OP = AP

Hence, ΔOAP is an equilateral triangle.

∴ ∠OAP = ∠AOP = ∠OPA = 60°

OP ⊥ PB (Radius is perpendicular to tangent at the point of contact)

∴ ∠OPB = 90°

In ΔOBP

∠BOP + ∠OBP + ∠OPB = 180°

∴ 60° + ∠OBP + 90° = 180°

⇒ ∠OBP = 180° – 150° = 30°

Length of tangent, PB =

Thus, the length of the tangent, PB iscm.

Cheers!