Question

(b) The ratio of the length of an arc of a circle and the circumference of is given as 2:5. If the radius of the circle is 7 cm, calculate, correct to or decimal place, i. the length of the arc ii. the area of the minor sector​

Answer 1

This means that the central angle of the sector is $(2/5)(360)=144^{\circ}$

Part i

$\frac{144}{360} (\pi)(2)(7)=\frac{28\pi}{5} \text{ cm}$

Part ii

$(\pi)(7^2) \frac{144}{360}=\frac{98\pi}{5} \text{ cm}^2$