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

NCERT Class XI Mathematics - Trigonometric Functions - Solutions

Question : 5 of 61

Marks: +1, -0

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

Solution:

Let AB be the minor arc of the chord.
AB = 20 cm, OA = OB = 20 cm
⇒ DOAB is an equilateral triangle.
⇒ ∠AOB = 60°
Now, 1° = (

180

) radians ⇒ 60° =

radians
Also , l = rθ ⇒ l = 20 ×

20π

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