SOLUTION: given are two centric circles with outer circle having a radius of 10cm. if the area of the inner circle is half of the outer circle, find the border between two circles.

Algebra ->  Circles -> SOLUTION: given are two centric circles with outer circle having a radius of 10cm. if the area of the inner circle is half of the outer circle, find the border between two circles.      Log On


   

Question 1178370: given are two centric circles with outer circle having a radius of 10cm. if the area of the inner circle is half of the outer circle, find the border between two circles.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

two concentric circles with outer circle having a radius of "10cm."

Let r be the radius of the smaller inner circle:

Question States:

πr^2 = (1/2)π(10cm)^2

 r^2 = 50

  r =  √50 = 5√2

the border between the two concentric circles circles:

 a circle with r =  5√2cm

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