SOLUTION: An equilateral triangle with side 10 square root 3 and apothem 5 is inscribed in a circle of radius 10. The area of the shaded region is
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-> SOLUTION: An equilateral triangle with side 10 square root 3 and apothem 5 is inscribed in a circle of radius 10. The area of the shaded region is
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Question 448116: An equilateral triangle with side 10 square root 3 and apothem 5 is inscribed in a circle of radius 10. The area of the shaded region is Answer by solver91311(24713) (Show Source):
Use the properties of a 30-60-90 right triangle (exactly one-half of the equilateral triangle) to determine the height of the triangle. The height of the triangle times the side of the triangle divided by 2 is the area of the triangle. The area of the circle is . The area of the three circle segments is the area of the circle minus the area of the triangle. The area of one of the segments is the area of all three identical segments divided by 3.
Since you didn't bother to share a picture or a description of "the shaded area" and I have no crystal ball, tarot cards, chicken bones, tea leaves, or other divination devices, I'm afraid that is all I can do for you.
John
My calculator said it, I believe it, that settles it
