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Question
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
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Solution
Steps for construction:
- Draw concentric circles of radius 4 cm and 6 cm with centre of O.
- Take point P on the outer circle.
- Join OP.
- Draw perpendicular bisectors of OP where M is the midpoint of OP.
- Take a distance of a point O from the point M and mark arcs from M on the inner circle it cuts at point A and B respectively.
- Join PA and PB.
- We observe that PA and PB are tangents from outer circle to inner circle are equal of a length 4.5 cm each.
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