Area of a sector

Consider a circle with centre O and radius r. Let AB be an arc of this circle which sub tends an angle q rad at the centre O of the circle. The areas of sectors are directly proportional to the measures of their corresponding central angles.

SOLVED PROBLEMS

(i) ABCDEF is a regular hexagon inscribed in a circle of radius 9 cm. Find the length of the minor arc AB and area of the corresponding sector O-AB.

Solution

(i) length of the minor arc AB (s) = r q^c

(ii) Area of the sector O-AB (A)

Index

1.1 Angles (Radians & Degrees)
1.2 Arc Length & Area of the circle
Supplementary Problems

Chapter 2