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21 Jun 2016, 17:29
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B
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Difficulty:
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80% (01:07) correct
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A circle has the same area with a rectangle. What is the circumference of the circle?
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
21 Jun 2016, 20:19
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MathRevolution
A circle has the same area with a rectangle. What is the circumference of the circle?
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
Area of circle = Area of rectangle..
1) The perimeter of the rectangle is 18
Different Area can be possible...
say the sides are 8 and 1.. P = 2(8+1)=18, and A = 8*1 = 8
say the sides are 7 and 2.. 2(7+2)=18, and A = 7*2 = 14
So each of them will give a different circumference of circle
Insuff
2) The area of the rectangle is 20
Area of circle = 20....
so \(\pi*r^2 = 20\)..... we can find \(2*\pi*r\)
suff
B
21 Jun 2016, 23:01
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MathRevolution
A circle has the same area with a rectangle. What is the circumference of the circle?
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
1) The perimeter of the rectangle is 18
2) The area of the rectangle is 20
*An answer will be posted in 2 days.
Statement 1
Perimeter of rectangle is 18, so a+b is known but I do not know the value of ab.
a+b = 9
a = 6 b =3, ab = 18
a=9, b=1, ab=9.
so different areas will result. Not sufficient.
Taking Statement (2)
Unique value for area is known.
If I have unique area of a circle, then I can get the radius and then I can get circumference. So sufficient.
B is the answer.
