Geometry/Trig Name: __________________________________ Shaded Region Problems Date: ___________________________________ Directions: Find the area of each figure and the area of the shaded region. When applicable, answers must be written in p form. 1. Outside figure is a square. 2. 18 4 C 10 C is the center 12 Outside figure is a trapezoid. Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________ 3. The segment with length 15 is a diameter. 4. C is the center 120° 12 10 C 15 Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________

Outside figure is a square. 5. 20 6. Outside figure is a square. 8 14 4 2 Outside figure is a rectangle. Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________ 7. 8. 3 C is the center 60° C is the center C 5 2 C 18 10 Outside figure is a parallelogram. Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________

The segment with length 6 is the radius. 9. 10. The segment with length 6 is the radius. The radius of the circle is 5; d is the diameter. 6 8 d Outside figure is a rectangle. Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________ 11. 7 Outside figure is a trapezoid. 12. C is the center of the regular hexagon. 5 2 C 8 Area of Outside Figure: _______________ Area of Shaded: _____________________ Area of Outside Figure: _______________ Area of Shaded: _____________________

Polygon is an equilateral triangle with an apothem of 8. 13. Polygon is an equilateral triangle with an apothem of 8. 14. Outside figure is a regular polygon. Area of Outside Figure: _____________ Area of Shaded: ___________________ Area of Outside Figure: _______________ Area of Shaded: _____________________ 15. Polygon is a regular inscribed hexagon with a radius of 4. 16. The side length of the regular octagon is 6 C is the center. C Area of Outside Figure: _____________ Area of Shaded: ___________________ Area of Outside Figure: _______________ Area of Shaded: _____________________