(3) What is the distance between two parallel tangents of circle having radius 4.5 cm.
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➻ Let :-
✯ O be the centre of the circle.
✯ Line PT and line QR are two parallel tangents to the circle at P and Q, respectively.
✯ ∠OPT + ∠OQR = 180º (Sum of adjacent interior angles on the same side of the transversal is supplementary)
✯ POQ is a straight line segment.
✯ PQ is the diameter of the circle.
PQ = Distance between the parallel tangents PT and QR
PQ = 2 × Radius
PQ = 2 × 4.5
PQ = 9 cm
➻ Therefore, distance between 2 parallel tangents of a circle is 9 cm...
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➻
Hence, the distance between two parallel tangents of a circle having radius 4.5 cm is equal to 9 cm .
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