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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.

Guest Apr 1, 2017
 #1
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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

 

 

cool cool cool

CPhill  Apr 1, 2017

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