Question

the circle is inscribed in a square and another circle is circumscribing the square ratio of the outer of the cirlce to iner circle

Answer 1

Answer:

The ratio of outer circle radius to inner circle radius is $\sqrt{2}$:1

Step-by-step explanation:

Let side of square= a

Raius of inner circle = a/2

( we know that circle inside touches both the parallel sideso f square so its diameter is equal to side of square and hence radius = a/2)

Hence the radius of inscrbing circle = $\sqrt{2}a$/2

( as we  know that diameter of outer circle is equal to diagonal of square as circle touches end points of its diagonal hence the radius is half of diagonal)

Circle inscribing the square has radius $\sqrt{2}a /2$

Hence the ratio of outer circle radius to inner circle radius= $\sqrt{2}:1$