Question

the area of the square inscribed in circle of diameter p is​

Answer 1

Answer:

area of the square = p²/2

Step-by-step explanation:

Answer 2

the area of the square inscribed in circle of diameter p is​ p²/2

The square is inscribed in a circle. It means that the square is drawn in such a way inside the circle such that the length of the  diagonal of the square is equal to the diameter of the circle.

From the question, diameter of the circle = p = Length of the diagonal of the square, and we know,

Also, (Diagonal of the square)² = (Side)² + (Side)²    [From Pythagoras theorem, as the angle subtended between the two sides = 90°]

⇒ p² = 2 (Side)²

⇒(Side)² = Area of the square = p²/2

As, area of a square = (Side)²