The longest chord of a circle divides the circle in_____.

Options

A. Two parts
B. Two equal parts
C. Two sectors
D. None of these

Answer

To solve the question, "The longest chord of a circle divides the circle in_____", we will follow these steps:

### Step 1: Understand what a chord is
A chord is a line segment whose endpoints both lie on the circle.

**Hint:** Remember that a chord connects two points on the circumference of the circle.

### Step 2: Identify the longest chord
The longest chord of a circle is the diameter. The diameter is a special type of chord that passes through the center of the circle and has its endpoints on the circumference.

**Hint:** Think about the distance between two points on the circle; the longest distance is when the points are directly opposite each other through the center.

### Step 3: Analyze how the diameter divides the circle
When the diameter is drawn, it divides the circle into two equal halves. Each half is a semicircle.

**Hint:** Visualize the circle and the diameter; notice how it splits the area into two symmetrical parts.

### Step 4: Conclusion
Thus, the longest chord of a circle, which is the diameter, divides the circle into two equal parts.

**Final Answer:** The longest chord of a circle divides the circle in **two equal parts**.

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