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

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

The chord of a circle can be stated as a line segment joining two points on the circumference of the circle….How to Find the Length of the Chord?

Chord Length Formula Using Perpendicular Distance from the Centre Chord Length = 2 × √(r² – d²)
Chord Length Formula Using Trigonometry Chord Length = 2 × r × sin(c/2)

What will be the length of a chord which is at a distance of 15 cm from the Centre of the circle of radius 17 cm?

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Hence, the Length of the chord will be 16cm.

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

So, the length of the common chord is 24 cm.

How do you find chord length?

r is the radius of the circle. c is the angle subtended at the center by the chord….Chord Length Formula.

Formula to Calculate Length of a Chord
Chord Length Using Perpendicular Distance from the Center Chord Length = 2 × √(r2 − d2)
Chord Length Using Trigonometry Chord Length = 2 × r × sin(c/2)

What is the length of a chord which is at a distance of 5 cm from the centre of the circle of radius 13 cm?

Clearly, OL = 5 cm and OA = 13 cm. = 24 cm.

What is the length of the common chord of the circles?

Let PO = x, then QO = 25 – x. Now we can apply the Pythagoras theorem in any of the triangle AOP or AOQ to get the value of AO. So, the length of the chord AB = 2(12) = 24cm.

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What is the chord length of a circle?

Chord Length Formula

Formula to Calculate Length of a Chord
Chord Length Using Perpendicular Distance from the Center Chord Length = 2 × √(r2 − d2)
Chord Length Using Trigonometry Chord Length = 2 × r × sin(c/2)

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