1986 AMC 8 Question 23 - thichhoctoan.com

Question 23

The large circle has diameter $AC.$ The two small circles have their centers on $AC$ and just touch at $O,$ the center of the large circle. If each small circle has radius $1,$ what is the value of the ratio of the area of the shaded region to the area of one of the small circles?

Question illustration

between $\dfrac12$ and $1$
$1$
between $1$ and $\dfrac32$
between $\dfrac32$ and $2$
cannot be determined from the information given