What is the length of a chord 5 cm away from the centre of a circle of radius 13 cm?

What is the length of a chord 5 cm away from the centre of a circle of radius 13 cm?

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

Who is the centre of circle with radius 5 cm?

8, O is the centre of a circle of radius 5 cm.

How do you find the length of a chord if you know the radius?

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)

How do you draw a circle with a radius of 5cm?

Here the radius is 5 cm so we will make a circle of radius 5 cm. Step 2: Mark a point C 8cm away from the center of the circle i.e. B. Step 3: Draw a perpendicular bisector of the line BC. Step 4: The point where the perpendicular bisector intersects the line BC, take that point and make another circle.

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What is the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 5cm?

=8.944=8.94 cm.

Who is the centre of the circle and AB is a diameter?

P is the centre and AB is the diameter of circle. here , AP = PB = radius of circle. It means, P divides the line segment AB in 1 : 1 ratio. Therefore the coordinates of point B is (-6,3).

Is the centre of a circle of radius 8 cm the tangent at a point A on the circle cuts a line through O at B such that AB 15 cm find OB?

Since, tangent at a point on a circle is perpendicular to the radius through the point. Therefore, OA is perpendicular to AB.

How do you calculate chord length?

Finding the Length of a Chord Using the formula, half of the chord length should be the radius of the circle times the sine of half the angle. Multiply this result by 2. So, the length of the chord is approximately 13.1 cm.

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What is the formula for finding the length of a chord?

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 is the circumference of a radius of 5 cm?

Explanation: The formula for the circumference of a circle is 2πr so all we have to do is plug in 5 for our radius: 2π(5) which can be simplified to 10π .

What is the area of the radius is 5?

2 Answers. Area =78.57 sq.in.

How to find the length of a chord of a circle?

Find the length of a chord which is at a distance of 5 cm from the centre of a circle of radius 13 cm. Let AB be a chord of a circle with centre O and radius 13 cm. Draw OL ⊥ AB. Join OA. Since the perpendicular from the centre to a chord bisects the chord.

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What is the length of chord BC in Circle 5 cm?

In a circle of radius 5 cm, AB and AC are two chords. such that AB = AC = 6 cm . Find the length of chord BC. In a circle of radius 5 cm, AB and AC are two chords. such that AB =AC = 6cm.

How do you find the distance between AB and CD chords?

AB and CD are two parallel chords of a circle such that AB = 12 cm and CD = 24 cm. The chords are on the opposite sides of the centre and the distance between them is 17 cm. Find the distance between them. In a circle of radius 5 cm, AB and CD are two parallel chords of lengths 8 cm and 6 cm respectively.

How do you find the radius of a semi-chord?

The distance of the chord from the centre, semi-chord and the radius of the circle are the edges of a right-angled triangle, with the radius as hypotenuse. Hence with the chord from the centre as 5cm, semichord=12/2=6cm.