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15 Jul 2018, 08:20
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (00:46) correct
20%
(01:15)
wrong
based on 88
sessions
History
Date
Time
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The radius of circle A is r, and the radius of circle B is \(\frac{3}{4}r\). What is the ratio of the area of circle A to the area of circle B ?
A. 1 to 4
B. 3 to 4
C. 4 to 3
D. 9 to 16
E. 16 to 9
A. 1 to 4
B. 3 to 4
C. 4 to 3
D. 9 to 16
E. 16 to 9
15 Jul 2018, 08:35
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Area of Circle A = π*r^2
Area of Circle B = π*(3/4*r)^2 = (π*r^2)*9/16
Ratio = Area of Circle A / Area of Circle B
= π*r^2 / (π*r^2)*9/16 ( Cancelling, π*r^2 from numerator and denominator)
= 1/(9/16)
= 16/9
Hence, E.
Area of Circle B = π*(3/4*r)^2 = (π*r^2)*9/16
Ratio = Area of Circle A / Area of Circle B
= π*r^2 / (π*r^2)*9/16 ( Cancelling, π*r^2 from numerator and denominator)
= 1/(9/16)
= 16/9
Hence, E.
15 Jul 2018, 12:14
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Bunuel
The radius of circle A is r, and the radius of circle B is \(\frac{3}{4}r\). What is the ratio of the area of circle A to the area of circle B ?
A. 1 to 4
B. 3 to 4
C. 4 to 3
D. 9 to 16
E. 16 to 9
A. 1 to 4
B. 3 to 4
C. 4 to 3
D. 9 to 16
E. 16 to 9
Area of a circle = π \(r^2\)
Area of circle A = π\(r^2\)
Area of Circle B = π \((3/4r)^2\)
Ratio = π \(r^2\) / π \((3/4r)^2\)
= r^2 / (9/16) \(r^2\)
= 1 / (9/16)
= 16 : 9
Thus the best answer is E.
