Answer:
Let the side of a square be denoted as "a"
Radius of incircle is half the length of side of a square =
2
a
Area of incircle A
1
=π(
2
a
)
2
=
4
πa
2
Radius of circumcircle is half the length of the diagonal of square =
2
a
Area of circumcircle A
2
=π(
2
a
)
2
=
2
πa
2
∴
A
2
A
1
=
2
πa
2
4
πa
2
=
2
1
=1:2
Step-by-step explanation:
