# How do you find the radius of a chord with height?

## How do you find the radius of a chord with height?

Answer: The radius of a circle with a chord is r=√(l2+4h2) / 2, where ‘l’ is the length of the chord and ‘h’ is the perpendicular distance from the center of the circle to the chord. We will use Pythagoras theorem to find the radius of a circle with a chord.

### How is a chord different from a radius?

The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle. A chord is a line segment whose endpoints lie on the circumference of the circle.

How do you find the radius of a circle with the equation?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

What is chord of the circle?

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.

## How do you find the arc length of a chord length?

1. Divide the chord length by twice the given radius.
2. Find the inverse sine of the obtained result.
3. Double the result of the inverse sine to get the central angle in radians.
4. Multiply the central angle by the radius to get the arc length.

### How to find the height of a circle with radius and chord?

The Height of segment of circle given radius and chord length formula is defined as the length of the segment when the value of radius and chord length is given is calculated using height = Radius – ( sqrt ( Radius ^2- ( ( Chord Length )^2)/4)).

How to calculate chord length given radius and angle in Excel?

Chord Length given radius and angle calculator uses chord_length = sin(Angle A/2)*2*Radius to calculate the Chord Length, Chord Length given radius and angle is the length of a line segment connecting any two points on the circumference of a circle with a given value for radius and angle. Chord Length is denoted by LChord symbol.

How do you find the length of a chord?

Chord Length given radius and angle is the length of a line segment connecting any two points on the circumference of a circle with a given value for radius and angle and is represented as LChord = sin(∠A/2)*2*r or chord_length = sin(Angle A/2)*2*Radius.

## How do you find the radius of a circle?

The Radius of a Circle based on the Chord and Arc Height calculator computes the radius based on the chord length (L) and height (h). ( h) Height of the arc from the chord to the highest point. Radius (r): The calculator returns the radius in meters.