Q. 44.2( 9 Votes )

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

Answer :

Step 1: We construct a circle with radius 4.5 cm, centred at O.

Step 2: We construct an angle of 135° at centre O, such that AOC = 135°, where C is another point on the circle.

Step 3: We construct perpendiculars to OC and OA at points C and A respectively.

Step 4: We extend the perpendiculars to meet at point D, and we get tangents AD and CD to the circle, enclosing 45° between them.

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