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Question
Draw line segments OA = 4.5 cm, OB = 3.2 cm such that ∠ AOB = 45°. Construct a circle touching OA at A and passing through B.
Solution
Steps of construction:
(i) Draw a OA = 4.5 cm
(ii) At O, draw an arc with angle 45 degree and radius 3. 2 cm
(iii) Join AB
(iv) At A, draw a perpendicular to OA
(v) Bisect AB and let bisector meet the perpendicular to OA at M
(vi) with MA as radius draw a circle touching B and A.
The circle drawn is the required circle.
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