周长相等的正方形和圆,边长与半径的比是_:_,面积之比是_:_.

问题描述:

周长相等的正方形和圆,边长与半径的比是______:______,面积之比是______:______.

边长与半径之比为:

C
4
÷
C
=
C
4
×
C
=
π
2

面积的比为:(
C
4
)
2
÷【π×(
C
)
2
】=
C2
16
÷【π×
C2
4π2
】=
C2
16
÷
C2
=
C2
16
×
C2
=
π
4

答:边长与半径的比是π:2,面积之比是π:4.
故答案为:π:2,π:4.