Draw a pair of tangents to a circle of radius 4.5 cm,

Question:

Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°.   

Solution:

Steps of Construction

Step 1. Draw a circle with centre O and radius 4.5 cm.

Step 2. Draw any diameter AOB of the circle.

Step 3. Construct ">BOC = 45º such that radius OC cuts the circle at C.

Step 4. Draw AM ⊥ AB and CN ⊥ OC. Suppose AM and CN intersect each other at P.

Here, AP and CP are the pair of tangents to the circle inclined to each other at an angle of 45º.

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