Table of Contents
- 1 How do you find the distance of the chord from the center of the circle?
- 2 How do you find the radius of a circle with a chord length?
- 3 What is the length of a chord 5 cm away from the Centre of a circle of radius 13 cm?
- 4 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?
- 5 How do you find the length of a chord of 20cm?
How do you find the distance of the chord from the center of the circle?
Length of chord = 2√ (r2 – d2) Where r = the radius of a circle and d = the perpendicular distance from the center of a circle to the chord.
How far is a chord of length 24cm from the center of a circle of radius 13cm?
Answer is (b) 5 cm Thus, distance of chord from center of circle = 5 cm.
What is the distance between the center of a circle and a chord that is 24cm long if the diameter is 26cm long?
Thus, the distance of the chord from the centre is 5 cm.
How do you find the radius of a circle with a chord 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.
What is the length of a chord at a distance of 9cm from the center of a circle of radius 15cm?
distance of the chord from the centre is 9cm. Draw a perpendicular bisector from center to the chord and name it OC. The length of the chord is AC + BC = 12 + 12 = 24 cm.
What is the formula of length of 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 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.
What is the radius of a circle 13cm?
∴ , the radius is 132 units or 7.5 units.
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.
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?
Hence, the Length of the chord will be 16cm.
How do you find the equation of a chord?
Given the radius and distance to center In case, you are given the radius and the distance of the center of circle to the chord, you can apply this formula: Chord length = 2√r2-d2 , where r is the radius of the circle and d is the perpendicular distance of the center of the circle to the chord.
What is the chord length of a circle with radius 7cm?
Question: Find the length of the chord of a circle where the radius is 7 cm and perpendicular distance from the chord to the center is 4 cm. ⇒ Chord length = 2×5.744
How do you find the length of a chord of 20cm?
Here the line OC is perpendicular to AB, which divides the chord of equal lengths. Hence the length of chord is 40 cm. A chord of length 20 cm is drawn at a distance of 24 cm from the centre of a circle. Find the radius of the circle. Here the line OC is perpendicular to AB, which divides the chord of equal lengths.
What is the distance of chord AB from center of circle?
Distance of chord AB from the centre of a circle is 8 cm . Length of the chord AB is 12 cm . Find the diameter of the circle. Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.
What is the length of the chord AB?
Length of chord = AB = 2 (Length of BC) = 2 (15) = 30 cm Hence the length of chord is 30 cm.