How does your answer to \(\displaystyle{\int_a^b \sqrt{1-x^2} \, dx}\) relate to the following diagram?

unit semi circle above the x axis with a slice perpendicular to the x axis shaded in

Look carefully at the diagram above.

  • Do you know any information that you can add to the diagram?
  • Are there lengths and areas that you can work out?

Further suggestions can be found by working through the questions below: