Question

44. The area of square outsider a circle of diameter d cm is four times than the area of square
inscribed in a circle of diameter d cm. Is it true or false? Why?​

Answer 1

Answer:

Correct answer is false

Step-by-step explanation:

given diameter of circle is d

diagonal of inner square=diameter of circle =d

Let side of inner square EFGH be x

In right angled ∆EFG,

EG^2= EF^2 +FG^2

d^2= x^2 +x^2

a^2=2x^2

x^2= d^2/2

AREA OF INNER SQUARE EFGH= (SIDE)^2

X^2 =d^2/2

But side of the outer square ABCS = diameter of circle=d

Area of outer square=d^2

Hence , area of the square is not equal to four times the area of the inner square