Question

The area of the square that can be inscribed in a circle of 10 cm radius is: -
a) 200 cm 2
b) 128cm 2
c) 64√2cm 2 d) 64cm 2

Answer 1

Answer:

a 200cm2

Step-by-step explanation:

is Right Answer

Answer 2

Answer:

Step-by-step explanation:

radius of circle = 10 cm

Thus, Diameter = 2 × radius = 2 × 10 = 20 cm

Now,

In the attachment we get to see that the diameter of circle = diagonal of the square inscribed in the circle

Thus, diagonal of square = 20 cm

We know the formula :

Where d = diagonal of the square

So,

putting the value of 'd' in the formula we get :

Thus side of square = 10√2 cm

Now,

We know :

Where S = side of square

Putting the value obtained in the formula we get :

Thus,

Area of Square = 200 cm²

CORRECT OPTION - A) 200 cm²