The circle with centre (2,3) touching x-axis has the radius equal to

Options

A. 2
B. 3
C. `sqrt(13)`
D. `sqrt(5)`

Answer

To find the radius of the circle with center (2, 3) that touches the x-axis, we can follow these steps:

### Step 1: Understand the properties of the circle
The center of the circle is given as (2, 3). Since the circle touches the x-axis, the distance from the center of the circle to the x-axis is equal to the radius of the circle.

### Step 2: Calculate the distance from the center to the x-axis
The y-coordinate of the center (2, 3) is 3. The distance from the point (2, 3) to the x-axis (y = 0) is simply the y-coordinate of the center.

**Distance = 3 units**

### Step 3: Conclude the radius
Since the distance from the center to the x-axis is equal to the radius, we can conclude that the radius of the circle is:

**Radius = 3 units**

### Final Answer
The radius of the circle is 3 units.

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