If the radius and the distance of the center of the circle to the chord are given, the chord of the circle can be calculated. We just need to apply the chord length formula: Chord length = 2√(r2-d2), where ‘r’ is the radius of the circle and ‘d’ is the perpendicular distance from the center of the circle to the chord.

What is a chord length?

It is defined as the line segment joining any two points on the circumference of the circle, not passing through its centre. Therefore, the diameter is the longest chord of a given circle, as it passes through the centre of the circle. Calculation of the length of the chord is sometimes very important in mathematics.

How do you find the length of the common chord of two circles?

The length of the common chord of two circles (x−a)2+(y−b)2=c2 and (x−b)2+(y−a)2=c2 is.

Is the diameter a chord?

(a) Yes , every diameter of a circle is a chord.

How many chords are in a circle?

R D Sharma – Mathematics 9

2 chords divide a circle into 4 regions.

What is equation of common chord?

⇒Equation of common chord =x=y. Lenght of common chord=d2r1r2 ; d is distance between centers. Here r1=r2=225 =2 5.

What is the length of the common chord of two circles of radii 15 cm and 20 cm whose Centres are 25 cm apart?

∴ The length of the common chord is 24 cm

Learn now!

Are all chords are diameters?

(b) No, every chord of a circle is not a diameter because the diameter passes through the circle’s centre. Therefore, every diameter of a circle is also a chord, and every chord of a circle is not a diameter.

What is chord 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.

Is diameter the longest chord?

A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.