Math, asked by aryaltembhurne, 22 days ago

(3) What is the distance between two parallel tangents of circle having radius 4.5 cm.​

Answers

Answered by ItzBrainlyJewel
16

\large\bold\green{\underline{Answer:-}}

➻ 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.

\large\implies PQ = Distance between the parallel tangents PT and QR

\large\implies PQ = 2 × Radius

\large\implies PQ = 2 × 4.5

\large\implies PQ = 9 cm

➻ Therefore, distance between 2 parallel tangents of a circle is 9 cm...

Answered by llpoojall
9

Hence, the distance between two parallel tangents of a circle having radius 4.5 cm is equal to 9 cm .

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