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A circle is circumscribed around a square such that all the angles of the squares lie on circumference. What is the area of the circle, if area of the square is 100 units?
A. 131
B. 137
C. 157
D. 161
E. 174
A. 131
B. 137
C. 157
D. 161
E. 174
26 Aug 2017, 02:03
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The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}
Area equals 3.14*25*2
= 157
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}
Area equals 3.14*25*2
= 157
fitzpratik
26 Aug 2017, 23:02
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VyshakhR1995
The side of the square will be 10...
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}
Area equals 3.14*25*2
= 157
The diameter of the circle will be 10\sqrt{2}
The radius will be 5\sqrt{2}
Area equals 3.14*25*2
= 157
this will hold true for all circumscribed squares.
So we can get a general formula
Area of a circle = 1.57 X Area of square it circumscribes
