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Math Help - Help! Urgent Circle question

  1. #1
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    Help! Urgent Circle question

    Find the equations of each of the circles in the figure (blue black and red) and calculate the shaded area.



    Thank you for your help
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, lemontea!

    This is straight-forward.
    Exactly where is your difficulty?


    The blue circle has center (0,0) and radius 4: . x^2 + y^2 \:=\:16

    The red circle has center (0,2) and radius 2: . x^2 + (y-2)^2 \:=\:4

    The black circle has center (0,-2) and radius 2: . x^2 + (y+2)^2\:=\:4


    The shaded region is the area of the blue circle
    . . minus the areas of the red and black circles.

    Surely you know how to find the area of a circle . . .

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