The chord of a circle which passes through the centre is___the radius

Options

A. Thrice
B. Double
C. Half
D. Equal to

Answer

To solve the question "The chord of a circle which passes through the centre is ___ the radius", we can follow these steps:

### Step 1: Understand the Definitions
- A **chord** is a line segment whose endpoints lie on the circle.
- A **diameter** is a special type of chord that passes through the center of the circle.

### Step 2: Identify the Chord that Passes Through the Centre
- When a chord passes through the center of the circle, it is called the **diameter** of the circle.

### Step 3: Relate Diameter to Radius
- The relationship between the diameter (d) and the radius (r) of a circle is given by the formula:
\[ d = 2r \]
- This means that the diameter is twice the length of the radius.

### Step 4: Fill in the Blank
- Since the diameter is twice the radius, we can conclude that the chord of a circle which passes through the center is **twice** the radius.

### Final Answer
The chord of a circle which passes through the centre is **twice** the radius.

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