Eli5: Finding the area inside of a circle but outside of an inscribed equilateral triangle?

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Can someone walk me through how to do this? I’m in a Pre-Calculus class and generally am really comfortable with math and mathematical concepts, but this is twisting my brain apart and I need help lol

In: Mathematics

3 Answers

Anonymous 0 Comments

Put a mark on th centre of the circle. Then draw lines from the centre to the corners of the triangle, what do you notice now?

You’ve split the circle into identical three sectors. Each of these sectors has a triangle in it. We can calculate the area of the triangle, and the area of the sector, so then you can find the total area not in the triangle.

For a challenge, you can try and work out a formula for an n-sided regular polygon inscribed inside of a circle.

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