In the figure below the triangle DGF has an area of 12 and DG=GF, what is the area of the shaded region?
Attachment 45
Figure not drawn to scale
(A)
(B)
(C)
(D)
Thanks
Printable View
In the figure below the triangle DGF has an area of 12 and DG=GF, what is the area of the shaded region?
Attachment 45
Figure not drawn to scale
(A)
(B)
(C)
(D)
Thanks
The triangle DGF is equilateral since DG=DF as radii and we also know that DG=GF.
Therefore, each angle of the triangle DGF measures .
We’ ll use two formulas for areas.
The first one gives us the area of triangle in terms of any two sides and their included angle
and the other gives us the area of a sector in terms of radius and the central angle (in radians!!) of the sector
So, the area of the shaded region is given by the following expression
Therefore the correct answer is (D).
Hope these help!
Thanks miranda!!