Question

draw a circle of radius 4 cm and construct a pair of tangents such that the angle between them is 60 degree ​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

1. Take a point O on the plane of the paper and draw a circle of radius OA = 4 cm

2. Produce OA to B such that OA = AB = 4 cm

3.Taking A as the center draw a circle of radius OA = AB = 4 cm

Suppose it cuts the circle drawn in step 1 at P and Q

4. Join BP and BQ to get desired tangents.

Justification in

ΔOAP We get

OA = OP = 4 cm ( which is radius)

also, AP=4cm (Radius of circle with centre)

⇒ ∠PAO = 60°

⇒ ∠BAP = 120°

In ΔBAP We have

BA = AP & ∠BAP=120°

∴∠ABP =∠APB=30°

⇒ ∠PBQ = 60°