The longest chord of a circle is equal to:
- Atwo times the diameter
- Bthree times the radius
- Ctwo times the radius
- Dthe radius
Solution & Step-by-step Explanation
A chord is a straight line segment whose endpoints both lie on the circular arc.
The longest possible chord in any circle passes directly through the center of the circle. This specific chord is defined as the diameter of the circle.
Since the diameter is twice the length of the radius (D=2r), the longest chord is equal to two times the radius.
The longest possible chord in any circle passes directly through the center of the circle. This specific chord is defined as the diameter of the circle.
Since the diameter is twice the length of the radius (D=2r), the longest chord is equal to two times the radius.