Question

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

Answer 1

D. Area of the circle – Area of the triangle + Area of the square

Answer 2

9514 1404 393

Answer:

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

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