Question on: WAEC Mathematics - 2006
In the diagram, the two circles have a common centre O. If the area of the larger circle is 100(\pi) and that of the smaller circle is 49(\pi), find x
A
2
B
3
C
4
D
6
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Correct Option: B
area of larger circle = 100(\pi)
(\pi r^2 = 100\pi)
R2 = 100
R = 10(Radius)
Area of smaller circle = (49 \pi)
(\pi r^2 = 49\pi)
r2 = 49
r = 7(radius)
Since R = x + r
x = R - r
x = 10 - 7 = 3
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