SOLUTION: I need to find the exact area of a shaded region of a circle. The picture looks like there's a triangle in the middle of it and the sides of this triangle are 24m long... I just re

Question 1010583: I need to find the exact area of a shaded region of a circle. The picture looks like there's a triangle in the middle of it and the sides of this triangle are 24m long... I just really need the way to find the shaded area of a circle... Thank you in advance!
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Maybe you hope to describe an equilateral triangle inscribed in a circle, and the side of the triangle is 24 meters.

Distance from center to any vertex where the circle and triangle meet is a radius. To be more brief in the discussion of the description, The equilateral triangle so inscribed is made of SIX special 30-60-90 triangles. Each has a leg , a hypotenuse r, and another leg .

Find the radius.

Cutting past the algebra, .

You did not indicate what is and what is not shaded to find its area quantity. The area of the TRIANGLE will be , refering to the individual special right triangles...
The whole equilateral triangle area is , the expression just enough for you to understand, ... and you can compute to finish.
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