There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?

There are two circles, one circle is inscribed and another  circle is circumscribed over a square. What is the ratio of  area of inner to outer circle?

Ques:- There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
2 5976

2 Answers on this Question

  1. ANS:1:2
    EXPLANATION:
    If a circle is circumscribed around a square, the area of
    the circle is π / 2 (about 1.57) times the area of the
    square.
    If a circle is inscribed in the square, the area of the
    circle is π / 4 (about 0.79) times the area of the square.
    SO,
    Ratio of area of inner to outer circle is,
    =(pi/2*a^2)/(pi/4*a^2)
    = 1/2
    Ans=1:2

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