Question

In a circle of radius 20 cm, the distance between a pair of equal and parallel
chord is 24 cm. Find how long the chords are.

Answer 1

Answer:

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Step-by-step explanation:

Chords are parallel, they can same or opposite sides from centre.

To find the perpendicular distance of the chords from the center, use use distance formula.

Given, a circle with radius 20 cm and center is origin.

Consider, AB and CD be the parallel chords. CD = 32 cm and AB = 24 cm

Draw a perpendiculars on the chords from the center.

Let the perpendicular distance of the chords from the center be x & y respectively

To find: PM

By distance formula we have,

x² + 16² = 20²

⇒ x = 12

y²+ 12² = 20²

⇒ y = 16

As, chords are parallel, they can same or opposite sides from centre

Distance between two parallel chords = 16 + 12 = 28 cm or 16 -12 = 4 cm

Hence, the distance between two parallel chords of lengths 24 cm and 32 cm if radius of the circle is 20 cm is 28 cm or 4 cm.

Answer 2

Please refer to the attached photo and see the process.It's a very easy question.

Hope it helps.☺