The Area of a square is equal to the Area of circle. What is the ratio between the side of the square and the radius of circle.
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EXPLANATION.
Area of a square is equal to the area of circle.
As we know that,
Area of the square = s².
⇒ A₁ = a². - - - - - (1).
Area of the circle = πr².
⇒ A₂ = πr². - - - - - (2).
⇒ A₁ = A₂.
⇒ a² = πr².
⇒ a²/r² = π.
⇒ (a/r)² = π.
⇒ (a/r) = √π.
Ratio between the side of the square and the radius of circle,
⇒ √π : 1.
MORE INFORMATION.
(1) = Volume of cuboid = L x B x H.
(2) = Volume of cube = a³.
(3) = Volume of cylinder = πr²h.
(4) = Volume of cone = 1/3πr²h.
(5) = Volume of hemisphere = 2/3πr³.
(6) = Volume of sphere = 4/3πr³.
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