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A square is inscribed in an equilateral triangle that is inscribed in a circle.

A square is inscribed in an equilateral triangle that is inscribed in a circle. The square and circle are shaded.

Which represents the area of the shaded region?

area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square

A square is inscribed in an equilateral triangle that is inscribed in a circle A square is inscribed in an equilateral triangle that is inscribed in a circle Th class=

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Answer:

  (d)  area of the circle – area of the triangle + area of the square

Step-by-step explanation:

The circle and square are shaded, so their areas appear in the area formula with a positive sign.

The triangle is not shaded, so its area appears with a negative sign.

The matching choice is the last one (d):

  area of the circle – area of the triangle + area of the square

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