What is the distance between two parallel tangents of a circle having
radius 4.5 cm ? Justify your answer
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Answer:
Line PT and line QR are two parallel tangents to the circle at P and Q, respectively. ⇒ POQ is a straight line segment. ∴ PQ is the diameter of the circle. Thus, the distance between two parallel tangents of the circle is 9 cm.
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Step-by-step explanation:
⇒ O is the center of the circle.
⇒ l and m are two parallel tangents of the circle.
⇒ Radius of the circle =4.5cm
⇒ AB is distance between two parallel tangents.
⇒ AB=OA+OB=4.5cm+4.5cm
∴ AB=9cm
∴ Distance between the parallel tangents l and m is 9cm.
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