Question

find the area of the square inscribed in circle of radius 10 cm.​

Answer 1

Answer:

As, a square is inscribed in a circle of radius 10cm or diameter 20cm.

So, one of the diagonal of the square is equal to 20cm.

and, half of diagonal=10cm

By pythagoras theorem in ∆formed by one the sides of sq. with the bisected diagonals;

=>(side)²=2(half of diagonal)²

=2(10)²

side² =200 cm² ......(1)

=>side=√200

side=10√2cm

As, area of a square=(side)²

So, from eq.ⁿ(1),

Therefore, The area of a square inscribed in a circle of radius 10cm is equal to 200 sq. cm.

Answer 2

Answer:

200 cm²

Step-by-step explanation:

all squares are rhombus.

1/2 ×diagonal 1 × diagonal 2

1/2× 20×20

= 200cm²