Question

The ratio of inradius and circumradius of a square is :​

Answer 1

Step-by-step explanation:

Let the side of the square be a.

Inradius of square = side of square/2 = a/2

⇒ Circumradius of square = diagonal of square/2

⇒ Circumradius of square = (√2 × side of square)/2 = (√2a)/2

⇒ Inradius of square : Circumradius of square = (a/2) : (√2a/2) = 1 : √2

∴ The ratio of the inradius and circumradius of a square is 1 : √2.

Answer 2

Answer:

The ratio of inradius and circumradius of a square is :

=>∴ The ratio of the inradius and circumradius of a square is 1 : √2.

Step-by-step explanation:

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