Q. 9

# Find the degree measure of the angle subtended at the centre of a circle of diameter 60 cm by an arc of length 16.5 cm.

θ= where θ is central angle, l=length of arc, r=radius

Now,

= and r = 0.5 x diameter

θ in degrees =

θ in minutes = 0.5 x 60 = 30’

Therefore angle subtended at the center is 31° 30’

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