Table of Contents
- 1 How do you find the distance between a chord and a radius?
- 2 What is the length of a chord of a circle which is at a distance of 4cm from the centre of the circle of radius 5 cm?
- 3 What is the length of a chord which is at a distance of 3 cm from the centre of circle of radius 5 cm?
- 4 What is the relationship between a chord and a radius?
- 5 What is the length of a chord of a circle which is at a distance of 6 cm from the centre of a circle the radius of the circle is 10 cm?
- 6 How do you find the distance from the center of a chord?
- 7 How do you find the radius of a 20 cm chord?
- 8 What are some solved problems on radius and chord of a circle?
- 9 How do you find the distance between AB and CD chords?
How do you find the distance between a chord and a radius?
In the video lesson we learned two equations that can be used to find the length, L, of a chord of a circle, L = 2rsin(theta/2), where r is the radius of the circle and theta is the angle subtended at the center by the chord, and L = 2 sqrt(r2 – d2), where r is the radius of the circle and d is the perpendicular …
What is the length of a chord of a circle which is at a distance of 4cm from the centre of the circle of radius 5 cm?
Answer: In the given circle, radius OA = 5 cm: distance of the chord AB from the centre is 4 cm. Therefore, the length of the chord is 6 cm.
What is the length of a chord which is at a distance of 3 cm from the centre of circle of radius 5 cm?
Question 2 Find the length of a chord which is at a distance of 3cm from the centre of a circle of radius 5cm. Consider AB as the chord of the circle with O as the centre and radius 5cm. Therefore, the length of the chord is 8cm.
What is the length of chord which is at distance of 4 cm?
=8.944=8.94 cm.
What is the distance 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) |
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Chord Length Formula Using Trigonometry | Chord Length = 2 × r × sin(c/2) |
What is the relationship between a chord and a radius?
Important Notes The radius of a circle bisects the chord at 90°. When two radii join the two ends of a chord, they form an isosceles triangle. The diameter is the longest chord of a circle.
What is the length of a chord of a circle which is at a distance of 6 cm from the centre of a circle the radius of the circle is 10 cm?
Distance of chord from the centre of the circle = 6 cm. Radius of the circle = 10 cm. Length of the chord = 2*[10^2–6^2]^0.5 = 2[100–36]^0.5 = 2*64^0.5 = 2*8 = 16 cm.
How do you find the distance from the center of a chord?
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 do you solve a chord of a circle?
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.
How to find the distance of chord from center of circle?
Hence the distance of chord from the center is 12 cm. Example 3 : 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. Solution : Here the line OC is perpendicular to AB, which divides the chord of equal lengths.
How do you find the radius of a 20 cm chord?
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. So, the radius of the circle is 26 cm.
What are some solved problems on radius and chord of a circle?
Let us see some solved problems on radius and chord of a circle. Example 1: Find the radius of the circle if its diameter is 16 cm. Example 2: If the length of the chord of a circle is 8 cm and the perpendicular distance from the centre to the chord is 3 cm, then what is the radius of the circle? Let us draw a circle as per the given information.
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.