SOLUTION: A circle is inserted in a 60° sector of a larger circle as shown above. Price that the ratio of the radii of the circles is 1:3, and find the ratio of the areas of the circle and

Algebra ->  Rectangles -> SOLUTION: A circle is inserted in a 60° sector of a larger circle as shown above. Price that the ratio of the radii of the circles is 1:3, and find the ratio of the areas of the circle and       Log On


   

Question 1012753: A circle is inserted in a 60° sector of a larger circle as shown above. Price that the ratio of the radii of the circles is 1:3, and find the ratio of the areas of the circle and the sector.
Found 2 solutions by ikleyn, fractalier:
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
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A circle is inserted in a 60° sector of a larger circle as shown above. Price that the ratio of the radii of the circles is 1:3, and find the ratio of the areas of the circle and the sector.
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Nothing is shown above.


Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well if the smaller circle has 1/3 the radius, its area is 1/9 as great. The 60 degree sector is 1/6 of the larger circle. So I'm thinking 1/9 to 1/6 is 2 to 3.