The diagram shows a sector of a circle, centre
O, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
+129847 Don't see any image......but we need to find the central angle, theta, of the sector....so we have :
Arc length = radius * ( theta in radians)
15 = 10 * ( theta in radians ) divide both sides by 10
15 / 10 = 3 / 2 = 1. 5 rads
So.....the area of the sector =
(1/2) * radius^2 * theta in rads =
(1/2) * 10^2 * 1.5 = 75 cm^2
