Find the degree measure of the angle ...

NCERT Class XI Mathematics - Trigonometric Functions - Solutions

Question : 4 of 61

Marks: +1, -0

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use π = 22/7)

Solution:

Let O be the centre and AB be the arc length of the circle.

l = AB = 22 cm, r = OA = OB = 100 cm

θ =

\left(\frac{l}{r}\right)^c

\left(\frac{22}{100}\right)^c

\left(\frac{180}{\pi} \times \frac{22}{100}\right)^{\circ}

= 12° 36'

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