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A circular park is enlarged uniformly such that it now occup
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24 Mar 2019, 00:10
24 Mar 2019, 00:10
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Question Stats:
74% (01:19) correct
25% (00:45) wrong based on 116 sessions
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A circular park is enlarged uniformly such that it now occupies 21% more land.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The percentage increase in the radius of the park due to the enlargement |
The percentage increase in the area of the park due to the enlargement |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Re: A circular park is enlarged uniformly such that it now occup
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01 Aug 2019, 18:46
01 Aug 2019, 18:46
1
Assume the radius prior increase is r1 and after increase its r2.
Given that area has increased by 21%. So, we can say that
if area prior increase was 100 sq units then it should be now 121 sq units
hence, we can write this as
3.14(r1)(r1) = 100
3.14(r2)(r2) = 121
therefore r1/r2 = 10/11
so the increase in radius is ((11-10)/10 )*100 = 10%
hence B is the right answer here
Given that area has increased by 21%. So, we can say that
if area prior increase was 100 sq units then it should be now 121 sq units
hence, we can write this as
3.14(r1)(r1) = 100
3.14(r2)(r2) = 121
therefore r1/r2 = 10/11
so the increase in radius is ((11-10)/10 )*100 = 10%
hence B is the right answer here
Re: A circular park is enlarged uniformly such that it now occup
[#permalink]
13 Aug 2022, 11:48
13 Aug 2022, 11:48
Since area is πr^2, the proportional increase in the radius will be smaller.
