2. The
is the longest chord of the circle.
Answers
⭐ Answer:
• The longest chord of the circle is the diameter.
⭐ Explanations:
• Any line segment joining two points on the circumference of the circle is called the chord.
• The longest chord will be the diameter because it passes through the centre and is equal to two times of the radius.
• Thus, the longest chord is the diameter of the circle.
Proof:
- Let AB be a diameter of the circle with center C and DE a chord not through C.
- Then, by the definition of the circle as the locus of points equidistant from the center, CA=CB=CD=CE=R, the radius of the circle.
- Which makes AB=2R. (The diameter is twice as long as the radius.)
- On the other hand, in CDE, by the triangle inequality, DE Hence Diameter is the longest chord.
✔️ Hence Verified too!
Answer:
The answer is
Diameter
Step-by-step explanation: