Question

16. Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12
cm. Find the distance between them if they lie on opposite sides of centre.
Ans. [8.5 cm]​

Answer 1

Question:

Two parallel chords of a circle whose diameter Is 13cm are respectively 5cm and 12cm .find the distance between them if they lie on opposite sides of center.

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Step-by-step explanation:

Let the distance from chords of 5 cm to the centre of the circle and the distance from chords of 12 cm to the center of the circle be A and B respectively.

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Given,

Diameter of circle = 13 cm

Radius of circle = 6.5 cm

Half of chord = 5/2 = 2.5 cm

Half of other chord = 12/2 = 6 cm

Using Pythagoras theorem for 5 cm chord,

⇒ 6.52 = 2.52 + A2

⇒ A2 = 36

⇒ A = 6 cm

Using Pythagoras theorem for 12 cm chord,

⇒ 6.52 = 62 + B2

⇒ B2 = 6.25

⇒ B = 2.5 cm

Distance between two chords when they are in semicircle

= 6 – 2.5 = 3.5 cm

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The final answer is 3.5cm.

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Hey Mate!!!! I hope my answer was helpful if yes please mark me brainliest.

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