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A circle with radius
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19 Oct 2017, 14:56
19 Oct 2017, 14:56
Expert Reply
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Question Stats:
98% (00:53) correct
1% (01:01) wrong based on 114 sessions
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A circle with radius \(\frac{4}{\sqrt{\pi}}\) has the same area as a particular square.
Quantity A |
Quantity B |
\(9\pi\) |
The area of the square if each side were increased by 1 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: A circle with radius
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21 Oct 2017, 04:10
21 Oct 2017, 04:10
Please explain how choice a is correct? n is not known in this question.
Re: A circle with radius
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22 Oct 2017, 14:42
22 Oct 2017, 14:42
2
Expert Reply
The circle with radius \(\frac{4}{\sqrt{n}}\) is equal to the area of a square.
Use the circle area formula
\(A = \pi ( \frac{4}{\sqrt{n}}) ^2\)
A = 16
Hence the area of the square is 16 and a single side is 4.
Now QB says if the side is increased by one. Therefore, one side is 5. From this the area is 25.
But QA is \(9 \pi\) that is more than 27 ( 9 * 3.14).
The answer is A
Use the circle area formula
\(A = \pi ( \frac{4}{\sqrt{n}}) ^2\)
A = 16
Hence the area of the square is 16 and a single side is 4.
Now QB says if the side is increased by one. Therefore, one side is 5. From this the area is 25.
But QA is \(9 \pi\) that is more than 27 ( 9 * 3.14).
The answer is A
