Find the area of the shaded portion intersecting between the two circles. show all work for full credit.

Solution:

Join other end of chord from the center of two circles.

As these two circles are concentric circles .

And the triangles are equilateral triangle.

Area of sector

=

Area of equilateral triangle having side 4 cm= =

Area of region I = Area of sector - Area of equilateral triangle having side 4 cm

                          = cm²

Area of colored region = 2 × Area of region I

                                       = 2 × 1.461

                                        = 2.922 cm² (Approx)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above