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13 Dec 2012, 06:53
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D
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Difficulty:
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89% (01:20) correct
11%
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The length of the edging that surrounds circular garden K is 1/2 the length of the edging that surrounds circular garden G. What is the area of garden K (Assume that the edging has negligible width.)
(1) The area of G is \(25\pi\) square meters.
(2) The edging around G is \(10\pi\) meters long.
(1) The area of G is \(25\pi\) square meters.
(2) The edging around G is \(10\pi\) meters long.
13 Dec 2012, 06:57
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The length of the edging that surrounds circular garden K is 1/2 the length of the edging that surrounds circular garden G. What is the area of garden K (Assume that the edging has negligible width.)
Given that the circumference of garden K is 1/2 of the circumference of garden G, thus the radius of garden is K is 1/2 of the radius of garden G.
We need to find the area of garden K.
(1) The area of G is \(25\pi\) square meters --> we can find the radius of garden G, thus we can find the radius of garden K, hence its area too. Sufficient.
(2) The edging around G is \(10\pi\) meters long --> the circumference of garden G is \(10\pi\). The same here: we can find the radius of garden G, thus we can find the radius of garden K, hence its area too. Sufficient.
Answer: D.
Given that the circumference of garden K is 1/2 of the circumference of garden G, thus the radius of garden is K is 1/2 of the radius of garden G.
We need to find the area of garden K.
(1) The area of G is \(25\pi\) square meters --> we can find the radius of garden G, thus we can find the radius of garden K, hence its area too. Sufficient.
(2) The edging around G is \(10\pi\) meters long --> the circumference of garden G is \(10\pi\). The same here: we can find the radius of garden G, thus we can find the radius of garden K, hence its area too. Sufficient.
Answer: D.
Marcab
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13 Dec 2012, 07:00
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Both the statements are the same in that they both tell us the radius of G.
So the answer can either be D or E.
Since you can get the radius of G, so its circumference will be 10pi.
The circumference of K is half of that of G, that is 5pi. From this you can find out the radius and hence the area.
+1D
So the answer can either be D or E.
Since you can get the radius of G, so its circumference will be 10pi.
The circumference of K is half of that of G, that is 5pi. From this you can find out the radius and hence the area.
+1D
