Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation. Give the justification of the construction.
Tangents on the given circle can be drawn as follows.
Draw a circle of 4 cm radius with centre as O on the given plane.
Draw a circle of 6 cm radius taking O as its centre. Locate a point P on this circle and join OP.
Bisect OP. Let M be the mid-point of PO.
Taking M as its centre and MO as its radius, draw a circle. L...
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