Question

In the figure above, the small square is inscribed

in the circle, which is inscribed in the large

square. What is the ratio of the area of the large

square to the area of the small square?

Answer 1

tips?

Answer 2

label the side of the small circle s
notice its diagonal is s* sqrt(2)
isn't that the width of the big square?

Answer 3

yes

Answer 4

the diagonal of the small square?

Answer 5

the diagonal of the small square is the square root of 2

Answer 6

the diagonal of the small square is the diameter of the circle

Answer 7

yeah...

Answer 8

yeah

Answer 9

you are right

Answer 10

so

Answer 11

2:square root of 2?

Answer 12

so if the small square has side s and area s^2
the diagonal is s*sqrt(2) = side of big square. area is s^2*2

Answer 13

so

Answer 14

the small square has an area of 2

Answer 15

and the big square has an area of 4?

Answer 16

I would use s for the side of the small square

Answer 17

so

Answer 18

4:2

Answer 19

now write down its area: s^2

write down its diagonal: s*sqrt(2)

Answer 20

ty