# how to make working model of a circle parts using color paper and cardboard

### 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:

1. 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.”
• The radius of a circle is the distance from the center to any point on the circle. It is denoted by the letter “r.”
3. 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).
4. 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.
5. 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.
6. 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.
7. Secant:
• A secant is a line that intersects the circle at two distinct points. The diameter is a special case of a secant.
8. Tangent:
• A tangent is a line that touches the circle at a single point, known as the point of tangency.
9. Sector:
• A sector is the region enclosed by two radii and the corresponding arc. The measure of a sector is given in degrees.
10. 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:

1. Color paper (different colors)
2. Cardboard
3. Compass
4. Ruler
5. Pencil
6. Scissors
7. Glue or tape
8. Markers or colored pencils

## Step by Step Circle parts working model :

1. Draw the Circle:
• Use a compass to draw a large circle on a piece of cardboard. This circle will represent the whole circle.
2. Cut Out the Circle:
• Carefully cut out the circle using scissors.
3. Divide the Circle:
• Use a ruler and a pencil to divide the circle into various parts. Common circle parts include:
• Halves (two equal parts)
• Degrees (e.g., 90°, 180°, 360°)
• Sectors (e.g., 1/4 sector, 1/2 sector)
4. 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.
5. Label the Parts:
• Write labels for each part, indicating the name (quadrant, half, etc.) and any relevant measurements (degrees, fraction, etc.).
6. Attach the Color Paper to Cardboard:
• Glue or tape the colored paper parts onto the corresponding sections of the cardboard circle.
7. 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.
8. 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.
9. Label the Axis:
• Draw and label the horizontal and vertical axes if you have included quadrants.