Question

The length of a minor arc is $\frac{2}{9}$ of the circumference of the circle. Write the measure of the angle subtended by the arc at the centre of the circle.

Answer 1

Length of a minor arc = $\frac{2}{9}$ circumference of the circle

$\frac{\theta }{180}\pi r=\frac{2}{9}\left(2\pi r\right)$

$\frac{\theta }{180}=\frac{4}{9}$

$\theta ={80}^o$