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. 

Answer 1

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.