Question

in a circular park of diameter 80m there is a square shaped playground of maximum area the area of the plyaground is

Answer 1

Check the answer in image 100%correct

And below diagram it is written straight line

Answer 2

Diameter of the park is = 80m

Now if I want to take the maximum area inside a square situated in the park, the diagonal of the square will be equal to the diameter of the circle (here circular park).

Thus diagonal of the playground = Diameter of the circular park = 80m

Lets assume an of the playground is 'x'm long.

Thus the diagonal will be √2x.

Therefore, √2x = 80

             or,   x = 80/(√2)

                        = 40√2

Thus the area of the playground will be = x² = (40√2)² = 3200 m²

The answer is 3200 m².