Question

the length of the chord ab of the circle s = 0 is​

Answer 1

Answer:

r is the radius of the circle. c is the angle subtended at the center by the chord.

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Chord Length Formula.

Formula to Calculate Length of a Chord

Chord Length Using Perpendicular Distance from the Center Chord Length = 2 × √(r2 − d2)

Chord Length Using Trigonometry Chord Length = 2 × r × sin(c/2)

Answer 2

Concept

A chord is line segment which joins two points of the circle without meeting the center of the circle.

Given

Chord is ab.

To find

Length of the chord?

Explanation

Let the radius of the circle be r. Join the center to the end points of the chord. Draw a perpendicular from the center on the chord. let the angle between chord and the radius is c degree. It forms a triangle OAB, it will be a right angled triangle so the length will be calculated as

Cos(c)=CA/OA

Cos(c)=CA/r

CA=rcosc

AB=2CA

AB=2r Cos(c)

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