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Question -

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.



Answer -

The dimensions of the circle are
Diameter = 40 cm
Radius = 40/2 = 20 cm
Consider AB be as the chord of the circle i.e. length = 20 cm
 
In ΔOAB,
Radius of circle = OA = OB = 20 cm
Similarly AB = 20 cm
Hence, ΔOAB is an equilateral triangle.
θ = 60° = π/3 radian
In a circle of radius r unit, if an arc of length l unit subtends an angle θ radian at the centre
We get θ = 1/r
 
Therefore, the length of the minor arc of the chord is 20π/3 cm.

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