Construction of Circle

To construct a circle with a given radius and touching the two given intersecting lines

1. Draw two lines AB and AC at some angle say α. 
2. Draw bisector of ∠BAC. 
3. Construct a line parallel to line AB at a distance R (radius of the circle to be constructed(http://mathematicsbhilai.blogspot.in/2012/08/construction-of-parallel-line.html). Let this line intersect the angle bisector at point O. 
4. Draw a circle with center O and Radius R. This is the required circle.

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