Question

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.​

Answer 1

Answer:

Step-by-step explanation:

IF A SQUARE IS INSCRIBED INSIDE A CIRCLE THEN ALL THE VERTICES , B, C AND D LIE ON THE CIRCUMFERENCE OF CIRCLE.

WHICH IMPLIES THE DIAGONAL AC AND BD OF THE SQUARE IS THE DIAMETER OF THE CIRCLE.

WE KNOW THAT ;

                      ar of circle = pi (d/2)^2

&                    ar of square = 1/2 d^2

            THE RATIO OF THEIR AREAS IS

                               pi (d/2)^2 :   1/2 d^2

AFTER CANCELLING D^2 AND 2.

WE GET PI / 2

WHICH MEANS THE RATIO IS

                                          PI   :   2