**Circle Parts Introduction:**

A circle is a fundamental geometric shape defined by all points equidistant from a central point. Understanding the various parts of a circle is crucial in geometry and mathematics.

Here’s an introduction to some key parts of a circle:

**Center:**- The center of a circle is the point equidistant from all points on the circle’s circumference. It is often denoted by the letter “O.”

**Radius:**- The radius of a circle is the distance from the center to any point on the circle. It is denoted by the letter “r.”

**Diameter:**- The diameter is the longest chord that passes through the center of the circle, connecting two points on the circumference. It is equal to twice the radius (D = 2r).

**Circumference:**- The circumference is the distance around the circle. It is calculated using the formula C = 2πr or C = πd, where π (pi) is a mathematical constant approximately equal to 3.14159.

**Chord:**- A chord is a straight line segment connecting two points on the circle’s circumference. The diameter is a special case of a chord.

**Arc:**- An arc is a portion of the circle’s circumference. The measure of an arc is given in degrees, and a semicircle is an arc that spans exactly 180 degrees.

**Secant:**- A secant is a line that intersects the circle at two distinct points. The diameter is a special case of a secant.

**Tangent:**- A tangent is a line that touches the circle at a single point, known as the point of tangency.

**Sector:**- A sector is the region enclosed by two radii and the corresponding arc. The measure of a sector is given in degrees.

**Central Angle:**- A central angle is an angle formed by two radii that originate from the center of the circle. The measure of a central angle is equal to the measure of its intercepted arc.

### Working model of a Circle Parts

Creating a working model of a circle parts using color paper and cardboard can be a creative and informative project. Below is a simple guide to help you make a circle parts working model:

**Materials:**

- Color paper (different colors)
- Cardboard
- Compass
- Ruler
- Pencil
- Scissors
- Glue or tape
- Markers or colored pencils
- Split pins (brads)

## Step by Step Circle parts working model **:**

**Draw the Circle:**- Use a compass to draw a large circle on a piece of cardboard. This circle will represent the whole circle.

**Cut Out the Circle:**- Carefully cut out the circle using scissors.

**Divide the Circle:**- Use a ruler and a pencil to divide the circle into various parts. Common circle parts include:
- Quadrants (four equal parts)
- Halves (two equal parts)
- Degrees (e.g., 90°, 180°, 360°)
- Sectors (e.g., 1/4 sector, 1/2 sector)

- Use a ruler and a pencil to divide the circle into various parts. Common circle parts include:
**Color the Circle Parts:**- Use color paper to cut out and fill in the different parts of the circle. Assign a different color to each part to make it visually appealing.

**Label the Parts:**- Write labels for each part, indicating the name (quadrant, half, etc.) and any relevant measurements (degrees, fraction, etc.).

**Attach the Color Paper to Cardboard:**- Glue or tape the colored paper parts onto the corresponding sections of the cardboard circle.

**Optional: Create a Rotating Wheel:**- If you want to make the model interactive, attach the cardboard circle to another larger piece of cardboard using a split pin (brad) at the center. This allows the circle to rotate, making it easier to view each part.

**Decorate and Enhance:**- Use markers or colored pencils to decorate the circle and add any additional details. For example, you can draw radial lines, labels, or patterns.

**Label the Axis:**- Draw and label the horizontal and vertical axes if you have included quadrants.