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  2. The height of the circular segment is one of the segments of our imaginary created cord. If we add them both together they create the diameter length of the circle. (1/2 cord)^2 / circular segment height, equals the diameter if you add the height of the circular segment to it. If you want the radius just divide the diameter by 2. Sincerely,

  3. Diameter of a Circle | Definition, Formula & Examples

    study.com/learn/lesson/what-is-diameter-formula.html

    Diameter: a line segment that starts at one point on the circumference, passes through the center, and ends on the other side of the circle. Its symbol is d. Circumference: the distance along the ...

  4. Properties of Equilateral Triangles in Circles

    math.stackexchange.com/.../1693014/properties-of-equilateral-triangles-in-circles

    Yes. Draw a picture : From the circle's center draw a radius to a vertex and a line to the midpoint of a side with that vertex at one extreme. Then you get a $\;30-60-90\;$ little triangle and thus the line from center to the midpoint is opposite to the angle of $\;30^\circ\;$ and is thus half the hypotenuse which is the radius.

  5. How to Find the Diameter, Radius & Chord of a Circle

    study.com/skill/learn/how-to-find-the-diameter-radius-chord-of-a-circle...

    Find the diameter, radius, and chord of the given circle with center A in the diagram below. Step 1: Identify the center of the circle. The center of the circle is the point A. Step 2: To find the ...

  6. Diameter of a Circle | Definition, Formula & Examples

    study.com/learn/lesson/diameter-formula-examples.html

    Diameter can be found by measuring the distance from one edge of a circle to the other edge, passing through the circle's center point. The diameter can also be found by multiplying the circle's ...

  7. How to Write the Equation of a Circle Given the Endpoints of a...

    study.com/skill/learn/how-to-write-the-equation-of-a-circle-given-the...

    Step 2: Find the radius, r, of the circle by using the distance formula on the center of the circle and one of the endpoints of the diameter. Using (− 3, 5) as the endpoint, we have: d (− 1 2 ...

  8. Diameter of a circle using 3 nonlinear points

    math.stackexchange.com/questions/849369

    1. Hint: If two chords AB A B and CD C D of a circle intersect at P P, then AP ⋅ PB = CP ⋅ PD A P ⋅ P B = C P ⋅ P D. Draw the diameter joining the red and green lines in your diagram. So, AP = PB = 5 2 A P = P B = 5 2 and CP = 1 C P = 1, and hence DP = 25 4 D P = 25 4. Now you can compute the diameter. Share.

  9. geometry - Converting a circle's diameter to a straight length...

    math.stackexchange.com/questions/1723899/converting-a-circles-diameter-to-a...

    The ratio of the length (circumference) of a circle, C C to its diameter m m is π π (a Greek letter spelled pi and pronounced "pie" in English-speaking countries). The decimal representation of π π continues forever without repeating after the decimal point: π = 3.14159265... π = 3.14159265... So if C/m = π C / m = π, then C = m ⋅ π.

  10. Area of a Circle Using Diameter | Formula & Examples

    study.com/academy/lesson/how-to-find-area-from-diameter.html

    If only given the diameter, the area of a circle can still be found since the diameter is always twice the radius or "2r." The equation used to find the area using only the diameter is: A = π (D ...

  11. How can I find the smallest enclosing circle for a rectangle?

    math.stackexchange.com/questions/854535/how-can-i-find-the-smallest-enclosing...

    While pythagorean theorum works well for enclosing a square with a circle and predicting the diameter, I am concerned that it does not work for a rectangle where the hypotenuse is not perpendicular to the tangent of the circle at its end points.