Area of inscribed equilateral triangle (some basic trig used) | Circles | Geometry | Khan Academy - By Khan Academy
This video will give you a good feel for what inscribed figures are like. It uses some trigonometry to figure out what the area of an equilateral triangle inscribed in a circle is, given the circle's radius. NOTE: We don't actually need trigonometry to solve this problem. Notice that we can view the equilateral triangle as six identical 30-60-90 triangles, the hypotenuses of which are radii of the circle, then use the 30-60-90 triangle side length ratios to figure out the rest of what we need to know to solve the problem.
Area of inscribed equilateral triangle (some basic trig used) | Circles | Geometry | Khan Academy is a free educational video by Khan Academy.It helps students in grades HS practice the following standards HSG.C.A.2.
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1. HSG.C.A.2 : Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
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