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Work out the radius of a quarter circle when the radius is 8cm. Give your answer in terms of PI

 Feb 6, 2019

Best Answer 

 #1
avatar+17331 
+2

I think you want to ask for the arclength (and not the radius as you posted)

 

FULL circumference of a circle =  pi d   or   pi 2r

 

Circumference of THIS circle would then be    pi 2(8)   cm

 

the ARCLENGTH of 1/4 of this would be     1/4  pi   16 =    4 pi     cm

 

 

 

OR  maybe you meant to ask for AREA   

 

Area of circle = pi r ^2

   for this circle     pi (8)^2 = 64 pi cm^2

 

1/4 of this would be    1/4 * 64 pi =   16 pi    cm^2

 Feb 6, 2019
edited by ElectricPavlov  Feb 6, 2019
 #1
avatar+17331 
+2
Best Answer

I think you want to ask for the arclength (and not the radius as you posted)

 

FULL circumference of a circle =  pi d   or   pi 2r

 

Circumference of THIS circle would then be    pi 2(8)   cm

 

the ARCLENGTH of 1/4 of this would be     1/4  pi   16 =    4 pi     cm

 

 

 

OR  maybe you meant to ask for AREA   

 

Area of circle = pi r ^2

   for this circle     pi (8)^2 = 64 pi cm^2

 

1/4 of this would be    1/4 * 64 pi =   16 pi    cm^2

ElectricPavlov Feb 6, 2019
edited by ElectricPavlov  Feb 6, 2019

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