INSTRUCTIONS:

1. Read the lesson below.
2. Download and save the worksheets.
3. Complete the worksheets and ensure you teacher get the completed work.
4. Transfer the worksheets to your teacher for marking.

Worksheets

Here is where you apply what you are learning:

To get you started, click here for Worked Examples.

1. Fractions of a complete circle for each sector;

2. Calculating the Exact Arc Length.

Technical Definition:

"A Perimeter is the border or boundary around the edge of a shape".

In Plain English:

"Perimeter of circle = the outside edge of a circle".

In the special case of a Circle, the perimeter of a circle is called the Circumference of a circle.

THE LESSON:

Today's lesson will be an introduction to Arcs and the Perimeter of a sector.

First of all, lets start with a few definitions:

Technical Definition:

"A sector of a circle is a fraction of the interior of a circle, described by a central angle composed of two radii".

In Plain English:

"A Sector of a circle is a slice of a circle, like a piece of Pie, where the slice cuts through the centre of the circle".

Technical Definition:

" An Arc of a circle is a fraction of the perimeter of a circle".

In Plain English:

Arc = a part of the outside edge of a circle. A fraction of the Perimeter of a circle.

If the circle was a pie, an Arc would be the outside edge of one slice of pie.

Perimeter