Question

The side of a square and the radius of a circle are equal. Find the ratio of their area.

1:7

22:7

7:22

1:2


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Answer 1

Answer:

7 / 22

Step-by-step explanation:

let the side of square be = s

then the radius of circle be = s

now

we know that the ratio of their side and radius are egual

square = circle

side × side = πs²

(side)² = 22/7 × s²

s² = 22/7 × s²

1 = 22/7

= 7 / 22

now the ratio of their area is 7:22

Answer 2

Answer:

7 : 22

Step-by-step explanation:

Side of a Square = a

Radius of a Circle = a

Area of Square = a * a =  a²

Area of Circle = π r² = π a²                     Here, Radius r = a

Ratio of their Area =  Area of Square / Area of Circle

                               =  a²  /  π a²

                               =  1  / π                     Here, π = 22 / 7

                               =  1  /  (22/7)

                               =  7  /  22

Answer : The Ratio of their area is 7 : 22