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Can someone please help me?

 

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 250pi, what is the radius of the circle?

 

Thank you so much!

 Jun 5, 2020
 #1
avatar+986 
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The formula for circle are is πr^2. You have 100/360 = 50/180 = 5/18 part of the area. 

 

5/18 * πr^2 = 250π

 

5πr^2/ 18 = 250 π

 

5r^2/18 = 250

 

5r^2  = 250 * 18

 

r^2 =250*18/5 = 50*18 = 900

 

r = 30

 

If you don't understand anything feel free to ask!

 Jun 5, 2020
 #2
avatar+193 
0

Thank you so much!!!

Caffeine  Jun 5, 2020

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