Triangles and circles

Triangles and circles - of b). 3. Consider three circles of...

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Triangles and Circles 1. Consider an equilateral triangle with sides of length 1. a. Find the area of the triangle. 0.43301270189222 b. Find the area of the inscribed circle. 0.261799388 c. Find the area of the circumscribed circle. 1.04719755 2. Consider three circles of radius 1 that are mutually tangent. That is, each circle is tangent to the other two. a. Find the area of the equilateral triangle whose vertices are the centers of the three circles. b. Find the area of the equilateral triangle whose vertices are the three points of tangency. c. Find the area of the curvilateral "triangle" whose sides are the circular arcs inside the triangle
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Unformatted text preview: of b). 3. Consider three circles of radii 1, 2, and 3 that are mutually tangent. a. Find the area of the triangle whose vertices are the centers of the three circles. b. Find the area of the triangle whose vertices are the three points of tangency. c. Find the area of the curvilateral "triangle" whose sides are the circular arcs inside the triangle of b). Equilateral Triangle Equations Perimeter Semiperimeter Area Altitude Median Angle Bisector Circumscribed Circle Radius Inscribed Circle Radius...
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