SOLUTION: Two circles have the same center. The radius x of the smaller circle is 5 units less than the radius of the larger circle. How many more square units does the larger circle cover

Question 847328: Two circles have the same center. The radius x of the smaller circle is 5 units less than
the radius of the larger circle. How many more square units does the larger circle cover?

Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
radius of the smaller circle, x.
radius of larger circle is x+5.

Formula for area for a circle: , and you have assigned .
;
You find the difference.

That should be enough to understand. Do you still need help?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two circles have the same center. The radius x of the smaller circle is 5 units less than
the radius of the larger circle. How many more square units does the larger circle cover?
------
larger area - smaller area
Ans: pi*r^2 - (pi(r-5)^2)
------
pir^2 - (pir^2 - 10pir + 25pi)
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= (10pi*r-25pi) units^2
==========================
Cheers,
Stan H.
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