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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,
The formula for finding the diameter of a circle is two times the radius (2 * radius). The diameter stretches from one side of a circle to the other with its midpoint at the center of the circle ...
Find the diameter, radius, and chord of the given circle with center Y in the diagram below. Step 1: Identify the center of the circle. The center of the circle is the point Y. Step 2: To find the ...
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 ...
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
Circumference is the perimeter, or distance around a circle. It is denoted in mathematics by the capital letter C. It is possible to relate diameter to circumference by using the formula ...
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.
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.
Find the diameter of this swimming pool. 1. The formula for the area A as a function of the diameter d of a circle is given by A = π (d/2)^2. Hence using d = 2 (radius) = 2 (16) = 32 meters from ...
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.