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

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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.

Sum

Solution

Triangle OAB is an equilateral triangle ∠AOB = 60°

= `(60×π)/180 "radians"`

= `π/3` radian

Let arc AB = l

The angle made by the arc at centre O, θ = `π/3` Length of arc AB,

l = rθ = 20 × `π/3` radians

= `(20π)/3` radians

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Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 55]

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NCERT Mathematics [English] Class 11
Chapter 3 Trigonometric Functions
Exercise 3.1 | Q 5 | Page 55

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