Question

A circular disc of radius 10 cm is divided into sectors with angles ${120}^o$ and ${150}^o$ , then the ratio of the areas of two sectors is

• A. 4:5
• B. 5:4
• C. 2:1
• D. 8:7

Answer 1

The correct option is A 4:5

A circular disc of radius $10cm$ is divided into sectors with angles ${120}^{\circ }$ and ${150}^{\circ }$.

The ratio of the areas of two sectors is

$=\frac{\frac{{120}^{\circ }}{{360}^{\circ }}}{\frac{{150}^{\circ }}{{360}^{\circ }}}$

$=\frac{4}{5}$

Hence, the ratio is $4:5$.