Chord Length Equation Math

A chord that passes through the center of the circle is also a diameter of the circle.

Chord length equation math. The chord of a circle is a straight line that connects any two points on the circumference of a circle. The angle t is a fraction of the central angle of the circle which is 360 degrees. Two formulae are given below for the length of the chord. Chord length c not calculated.

If two chords of a circle. Chord calculating the length of a chord. T 360 degrees. Find the length c of the chord rq in the diagram.

The length a of the arc is a fraction of the length of the circumference which is 2 π r. If you know the radius or sine values then you can use the first formula. C c h o r d l e n g t h sin θ 2 c text chord length sin bigg frac θ 2 bigg c chord length sin 2θ. Length of chord a 2 6 sin boldsymbol frac 70 2 12 sin 35 6 88cm 1 2 we can also find the length of a chord when the relevant angle is given in radian measure using the same approach.

C l e n 2 r s i n θ 2 c len 2 times r times sin frac. Circle radius r 0. The formula for chord length chord length using perpendicular distance from the centre of the circle. C l e n 2 r 2 d 2 c len 2 times.

The perpendicular bisector of a chord always passes through the center of the circle. In fact the fraction is. Chord length formula r is the radius of the circle c is the angle subtended at the center by the chord d is the perpendicular distance from the chord to the circle center. Choose one based on what.

There are two basic formulas to find the chord length of the circle. Formula to find the length of a chord of a circle. Circle center to chord midpoint distance t 0. The chord is a line segment that only covers the part inside the circle.

Just make sure that the calculator is set to radians instead of degrees when working out the sin value. If you know the radius of the circle and can measure the angle θ you have all you need to calculate chord length. Chord lenth using trigonometry with angle theta.