Question

Help meee!!!! In this diagram the area of the saller square is .....​

Answer 1

The area of the larger square is 20
`cm^2`

Explanation:

Given:

The area of the smaller square =
`10 cm^2`

To Find:

The are of the larger square = ?

Solution:

The diagonal of the smaller square = diameter of the circle = sides of the larger square

The diagonal of the smaller square is

=>
`√(2(10))`

=>
`√(20)`

=>
`√(2* 2 * 5)`

=>
`2√(5)`

Now this diagonal is equal to the side of the larger square

so the are of the larger square is

=>
`(2√(5))^2`

=>
`(2√(5)) * (2√(5))`

=> 20
`cm^2`