Question

Find the angle in degree subtended at the centre of a circle by an arc, for the given,

$radiusofcircle=5.5m,lengthofarc=6.05m[\pi =\frac{22}{7}]$

Answer 1

Length of an arc subtending an angle $\theta =\frac{\theta }{360}\times 2\pi R$ where R is the radius of the circle.
So, $6.05=\frac{\theta }{360}\times 2\times \frac{22}{7}\times 5.5$
Hence, Angle subtended $={63}^0$