+0  
 
0
234
1
avatar

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
Sort: 

1+0 Answers

 #1
avatar+79881 
+2

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

3 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details