Question

Area of square inscribed in a circle of unit radius is------------
A) 2 sq. units
B) sq. units
C) √2 sq. units
D) 2 sq. units

Answer 1

Step-by-step explanation:

Since the radius is 1 unit.

the circle’s diameter = diagonal of square = 2 units .

Since diagonal = side√2

2 = side√2

2/√2 = side

Thus, area of the square = (2/√2)^2 = 4^2/2= 2r2.

Answer 2

Answer:

r=1   and    d=2

diagonal = root 2       (pythagoras theorem)

are of square = a^2                       (a = root 2)

                      = root 2   *     root 2

                      = root 4

                      = 2. sq units