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Question 1:
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle. A. 6π cm
B. 8π cm
C. 12π cm
Feedback Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a^2 = 784 = (4)(196) = (2^2).(14^2)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.
a^2 = 784 = (4)(196) = (2^2).(14^2)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.
D. 16π cm
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