You are given just a compass and a ruler which does not show any measurement on it. You see a circle on the cartesian coordinate plane. Call this circle ‘C’. You are required to construct a circle (call this circle ‘D’) concentric to circle C and with radius which is √2 times the radius of C. You do not have the value of ‘r’, the radius of C. Study the following steps carefully. Remember that the only thing you can do with the ruler provided is just draw a straight line. What is the first step to construct the circle ‘D’?
A circle of given radius can be constructed using a compass and _______.
Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circles. Give the justification of the construction.