Table of Contents

- 1 How do you find the radius of a chord with length?
- 2 How do you find the radius with chord length and arc length?
- 3 What is chord and radius?
- 4 Does chord length equal arc length?
- 5 How do you find radius diameter and chord?
- 6 What is the radius of one chord of a circle?
- 7 How to find arc length from central angle and chord length?
- 8 What is the formula to find the radius of a circle?

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

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 do you find the radius with chord length and arc length?

Central angle and the chord length: Divide the central angle in radians by 2 and further, perform the sine function on it. Divide the given chord length by twice the result of step 1. This calculation gives you the radius as result.

**How do you find the radius of a chord length and central angle?**

Or the central angle and the chord length: Divide the central angle in radians by 2 and perform the sine function on it. Divide the chord length by double the result of step 1. This calculation gives you the radius.

### What is chord and radius?

Definitions. The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.

### Does chord length equal arc length?

Explanation: Chord length is, therefore, the straight line distance between two points on the curve. The arc length is the length such a segment (Initially the length of an arc of a circle, but generalized to the length along some given path.)

**How do you find the equation of a common chord?**

Now, to find the equation of the common chord of two intersecting circles we will subtract the equation (ii) from the equation (i). ⇒ 2x + 12y + 27 = 0, which is the required equation. The slope of the common chord 2x + 12y + 27 = 0 is (m1) = -16. Centre of the circle x2 + y2 – 4x – 2y – 31 = 0 is (2, 1).

## How do you find radius diameter and chord?

In This Article

- Radius: A circle’s radius — the distance from its center to a point on the circle — tells you the circle’s size.
- Chord: A segment that connects two points on a circle is called a chord.
- Diameter: A chord that passes through a circle’s center is a diameter of the circle.

## What is the radius of one chord of a circle?

The radius of a circle is 15 cm and the length of one of its chord is 18 cm. Find the distance of the chord from the centre.

**What is the length of a chord?**

= 30 cm. Hence the length of chord is 30 cm. Example 2 : Find the length of a chord which is at a distance of 15 cm from the centre of a circle of radius 25 cm.

### How to find arc length from central angle and chord length?

Or the central angle and the chord length: 1 Divide the central angle in radians by 2 and perform the sine function on it. 2 Divide the chord length by double the result of step 1. This calculation gives you the radius. 3 Multiply the radius by the central angle to get the arc length.

### What is the formula to find the radius of a circle?

The Math / Science The formula for the radius of a circle based on the length of a chord and the height is: r = L2 8h + h 2 r = L 2 8 h + h 2