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# Construct a tangent of a circle of radius 4cm from a point on the concentric circle of radius 6 cm.

**Given:**Radii of two co-centric circles.

**To do:**To construct a tangent of the circle with radius 4 cm from a point on the co-centric circle of radius 6cm.

**Solution:**

**Steps of construction**

**1.**Draw two concentric circle with centre O and radii 4 cm and 6 cm Take a point P on the outer circle and then join OP

**2.**Draw the perpendicular bisector of OP. Let the bisector intersects OP at M

**3.**With M as the center and OM as the radius, draw a circle. Let it intersect the inner circle at A and B.

**4.**Join PA and PB.

Therefore, PA and PB are the required tangents.

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