Agnes and I were at Borders the other day and I came across a calendar that they were selling for the new school year. It was the SAT Question of the Day 2009 calendar. On the back of the calendar was this math question, which I thought was harder than I remember SAT questions.

SAT diagram

The circle shown above has center O and a radius of length 5. If the area of the shaded region is 20pi, what is the value of “x”?

  1. 18
  2. 32
  3. 45
  4. 54
  5. 72

Note: the figure is not drawn to scale.

The College Board website has this same question here if you want to check your answer. Let me know if you were able to figure it out.

You can also sign up to receive ongoing SAT Questions of the Day at the same site.