Arc to Area

  • Arc to Area

    PoW ID: 2919

    Problem Print

    The arc below has a measure of 40 degrees, and its endpoints are at (1,5) and (5,3). Find the area of the circle that contains the arc.

    Answer Check

    Show Answer

    The area of the circle is 134.28 square units.

    If your answer doesn't match ours,

    • check your arithmetic carefully!
    • make sure that you are answering the question that is asked.
    • make careful additions to the picture.
    • note that you don't have to find the location of the center of the circle.
    • remember that the perpendicular bisector of a chord of a circle goes through the center of that circle. (You don't have to use this to solve the problem, but it might be helpful if you are stuck.)
    If any of these ideas help you improve your work, please revise your work and leave us a comment about what you changed or added.

    If your answer matches ours,

    • have you explained all of the steps that you took?
    • do you think that another student could follow and learn from your explanation?
    • do you think that you could solve another problem like this?
    Leave a comment that answers at least one of these questions, especially if you are interested in feedback.