What is the radius of the circle If a chord of 24 cm is at distance of 5 cm from the centre of the circle?
Table of Contents
- 1 What is the radius of the circle If a chord of 24 cm is at distance of 5 cm from the centre of the circle?
- 2 What is the length of the longest chord of the circle with radius 2.9 cm?
- 3 How do you find longest chord length?
- 4 How do you find the length of a chord of 24cm?
- 5 What is the longest chord of any circle?
What is the radius of the circle If a chord of 24 cm is at distance of 5 cm from the centre of the circle?
Radius of the circle = [(24/2)^2+5^2]^0.5 = [144+25]^0.5 = 13 cm.
How do you find the length of a chord from the center?
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 the longest chord of the circle with radius 2.9 cm?
5.8cm is the length of largest chord of circle which is diameter.
What is length of longest chord of circle with radius 2.8 cm?
How do you find longest chord length?
We have been given the radius of the circle as 2.9 cm. This is the required answer. Note: The answer obtained in this question can be used as a result. That is, the diameter is always the longest chord of a given circle.
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 length of a chord of 24cm?
A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. Find the length of the chord of the same circle which is at a distance of 12 cm from the centre. Let AB be the chord of length 24 cm and O be the centre of the circle.
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 is the longest chord of any circle?
The line segment joining any two points on the circumference of the circle is known as chord of the circle. Diameter is the longest chord of circle which passes through center of the circle.