Bunuel wrote:
The centers of the three circles lie on one line (the circles intersect as shown). What is the area of the shaded part of the figure?
(1) Each of the small circles has a diameter of 5.
(2) The large circle has a radius of 5.
Attachment:
2016-02-01_1608.png
Hi,
A very good Question which tells us
What is the limit to the usage of " making use of diagrams drawn to circle scale"?This Q tells us where we can use it and where we cannot?
the Diagram and the Q tells us that the centers of the three circle is in a line..
1) Using info of the sketch, we can say that the sum of the dia of two smaller one is equal to the dia of larger one
2) What we should not infer is " the two smaller circles are of equal dia" even if you find the two equal through usage of a scale. IF we do that, all Qs relating to Gemetry can be done by just using a scale and an angle measurer.WHAT IS REQUIRED;-
area of bigger circle and two smaller circleslets see the statements:-
(1) Each of the small circles has a diameter of 5.we know the circles are in a line..
and the point 1) of what we can infer can be used to say that the dia of bigger circle is 5+5=10..
Quote:
1) Using info of the sketch, we can say that the sum of the dia of two smaller one is equal to the dia of larger one
we can find area of the three circles, as the radius of all three are known..
Suff
(2) The large circle has a radius of 5.here use the point 2)..
Quote:
2) What we should not infer is " the two smaller circles are of equal dia" even if you find the two equal through usage of a scale. IF we do that, all Qs relating to Gemetry can be done by just using a scale and an angle measurer.
so smaller circle can have 4 and 6 as diameter or 5 and 5 as diameter..
different areas in different combinations..
Insuff
A
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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