Mathematics
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.
Answer
Steps of construction :
Draw two concentric circles of radius 4 cm and 6 cm with O as center.
Take a point P on the outer circle.
Join OP.
Draw perpendicular bisectors of OP, let it meet OP at point M.
With M as centre and OM as radius cut arcs at inner circle at point A and B.
Join PA and PB. Measure PA and PB.
On measuring,
PA = PB = 4.5 cm.
Hence, PA and PB are tangents and length of each tangent = 4.5 cm.
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