#### Area of inscribed equilateral triangle (some basic trig used) | Circles | Geometry | Khan Academy - By Khan Academy

#### DESCRIPTION:

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.

#### OVERVIEW:

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.

This page not only allows students and teachers view Area of inscribed equilateral triangle (some basic trig used) | Circles | Geometry | Khan Academy but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.

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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.

GRADES:

**HS**

STANDARDS:

**HSG.C.A.2**