You probably already know to find the area of a circle.
It’s A = πr2.
Where π=3.14… and r is the radius.
But what do we do if we only want to determine the area of a small slice of a circle?
That’s precisely what we’re talking about today, so let’s jump on in!
Did you know that all we have to do to find the area of a sector is to create a proportion?
Area of a Sector of a Circle
In other words, it is the portion of a circle that is enclosed by two radii and an arc.
You can see the process of obtaining the formula in the following equation.
Area of a Segment of a Circle
Now a segment of a circle is the region bounded by an arc and its chord.
In other words, it’s a sector with the triangle portion removed.
Therefore the segment is like the crust of the pizza slice, as Math Bits Notebook nicely states.
In the video below you’re going to use your knowledge of arcs, central angles, triangles and trig to help you find the area of circles, secants, and segments.
Video – Lesson & Examples
57 min
- Introduction to Video: Areas of a Circles, Sectors, and Segments
- 00:00:20 – Formulas for finding the Area of a Circle, Area of a Sector and Area of a Segment
- 00:04:37 – Find the area of the circle or sector (Examples #1-4)
- Exclusive Content for Member’s Only
- 00:12:24 – Find the area of the semicircle, sector or segment (Examples #5-9)
- 00:34:45 – Find the area of the shaded region (Examples #10-12)
- Practice Problems with Step-by-Step Solutions
- Chapter Tests with Video Solutions
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