Question

Find the degree measure of the angle subtended at the centre of a circle of radius 10 cm by an arc of length 22 cm $(Use\pi =\frac{22}{7}).$

Answer 1

Circumference of circle $=10\times \frac{22}{7}\times 2=\frac{440}{7}$

Now $\frac{22}{440/7}=\frac{a}{360}$

$a=\frac{360\times 22\times 7}{440}$

$={126}^o$.