mathematics

if a circle has a radius of 6 inches,what will the area of the circumscribed equilateral triangle be?

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  1. Make a sketch
    Draw a radius to each of the sides, it will meet it at right angles and bisect the sides
    Draw lines from the centre to each of the vertices.
    You should have 6 triangles with angles 30,60 and 90
    one of the sides will be 6
    I can find the other side of one of those triangles.
    tan 30 = 6/x
    1/√3 = 6/x
    x = 6√3

    so the area of one of those triangles = (1/2)(6√3)(6)
    = 18√3

    so the area of the whole big triangle is 6(18√3) = 108√3

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