Area of Composite Figures Answers

A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.

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3 semicircles are connected to 3 sides of a square. Each side of the square measures 4 centimeters.

A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.

A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.

A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region?

A semicircle with a diameter of 8 meters is shown. A smaller semicircle with a diameter of 4 meters is cut out of the larger semicircle. A rectangle with side lengths of 2 meters and 5 meters is connected to the semicircle.

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

A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters.