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How do you find a circumference of an arc with basis of its chord length and given height?
Wiki User
∙ 13y ago
you need to know the formula the arc length is equal to the radius times the angle made by the length of arc
s = r(theta)
s=arc length
r=radius
theta=angle
Wiki User
∙ 13y ago
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Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
What is the diameter of a circle?
A chord of a circle is a straight line that joins any two points on the circumference of a circle. The diameter of a circle is the length of the chord that passes through the centre of the circle; it is the chord of longest length and is twice the radius of the circle in length.
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
How can I calculate cord length using arc length and radius?
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
What is a line segment that has both endpoints on the circumference?
It is a chord of a circle.
Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
What is the diameter of a circle?
A chord of a circle is a straight line that joins any two points on the circumference of a circle. The diameter of a circle is the length of the chord that passes through the centre of the circle; it is the chord of longest length and is twice the radius of the circle in length.
Is a point the chord of a circle?
No, it is not. A chord is a line segment. It cannot have a length of zero. A point has no dimensions. The chord of a circle is a line segment that has its endpoints (both of them) on the curve (or circumference) of the circle.
Find chord length with radius and arc length known?
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
What is arc and chord?
An arc is part of the circumference of a circle and a chord is a straight line that meets two points of the circumference with the diameter being the largest chord.
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
How can I calculate cord length using arc length and radius?
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
What is the formula to calculate the radius of a segment knowing the height of the segment and cord length?
Assume that the height of the segment is h, the chord length is c and the radius is r then: r2=(r-h)2+(c/2)2 (We join two radii to the two ends of the chord then extend the height of the segment to the center of the circle in which the segment is inscribed so this height will bisect the chord and you use the pythagorean theorem to find the radius)
Given radius and chord length. What is the height of arc to midpoint of chord?
Draw the circle O, and the chord AB. From the center, draw the radius OC which passes though the midpoint, D, of AB. Since the radius OC bisects the chord AB, it is perpendicular to AB. So that CD is the required height, whose length equals to the difference of the length of the radius OC and the length of its part OD. Draw the radius OA and OB. So that OD is the median and the height of the isosceles triangle AOB, whose length equals to √(r2 - AB2/4) (by the Pythagorean theorem). Thus, the length of CD equals to r - √(r2 - AB2/4).
What is a line segment that has both endpoints on the circumference?
It is a chord of a circle.
Can a chord become a tangent?
No because a chord is a small part of the circumference and a tangent is a line outside of the circle that touches the circumference at a single point.
What is the chord of a circle that is always smaller?
There is no chord that is always smaller since, in the limit, the chord reaches a single point on the circumference - when it it is no longer a chord!
