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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,
5. Yes. If you're familiar with construction using compass and straight edge, one of the easiest ways to construct an equilateral triangle is to draw two circles where each circle's centre lies on the other circle's edge. Drawing a line between the two intersection points and then from each intersection point to the point on one circle farthest ...
the circumference C and diameter d. are related by the equation. C = πd. so to find the diameter we simply divide the circumference by π. d = C π. Answer link.
I have a circle of unknown diameter. I do, however, know the length of a chord and the distance between the centre of the circle and the centre of the chord. Please see picture here where I have added some sample values: I want to determine the value of d. UPDATE: Diagram illustrating maxmilgram's solution below here
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.
D=(2)(sqrt(A/\pi)) It is known that the area of a circle is A=\pir^2. If the area of the circle is given, the radius r, can be calculated and that is through literal transposition.
Part I. consider first two chords only meet on the circle. You know length of both and the angle between them. calculating the radius is a straightforward exercise. Part II. Prove that by one extra step of calculation, arbitrarily crossed chords with all four known partitions are equivalent to the previous case so it is possible to calculate it.
The standard circle is drawn with the 0 degree starting point at the intersection of the circle and the x-axis with a positive angle going in the counter-clockwise direction. Thus, the standard textbook parameterization is: x=cos t y=sin t. In your drawing you have a different scenario.
The intersection of the perpendicular bisectors of any two chords is the center of the circle. If you're asking how to calculate the length of the diameter from the length of two arbitrary chords, that is impossible. With the information given, there's no way to solve this, because for any circle whose diameter is larger than 5 5, there's a way ...
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.