SOLUTION: A circular driveway is bounded by two circles. The equation of the large circle is x^2 + y^2 = 4225, while the smaller circle is x^2 + y^2 = 1444. What is the difference between t

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A circular driveway is bounded by two circles. The equation of the large circle is x^2 + y^2 = 4225, while the smaller circle is x^2 + y^2 = 1444. What is the difference between t      Log On


   

Question 1170405: A circular driveway is bounded by two circles. The equation of the large circle is x^2 + y^2 = 4225, while
the smaller circle is x^2 + y^2 = 1444. What is the difference between the area of the larger circle and the
smaller circle?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Since the equation of a circle is x^2+y^2 = r^2, the 4225 and 1444 are the squares of the radii of the two circles.

The area of each circle is pi times radius squared; so the difference in the areas of the two circles is

%28pi%29%284225%29-%28pi%29%281444%29+=+%282781%29pi