Area & Perimeter Of Regular Figures
In this course, we will cover how to find the area and perimeter of common figures such as trapeziums, parallelograms, and triangles. Students will also learn about the different parts of a circle, including the circumference, chord, sector, and segment, and how to calculate the area and circumference of a circle.
Related Lessons:
Area Of Trapezium and Parallelogram
In this video, students will learn how the formula for the area of a trapezium is derived, helping you understand and remember it more easily. We will also show how the trapezium formula can be transformed into the parallelogram formula, making it easier for students to understand and memorise the area formula for a parallelogram.
A trapezium has the following key features:
- One pair of opposite sides are parallel to each other
- The other opposite pair must not be parallel
- Let the length of the parallel opposite sides be variable a and b, and let the height be h, and the height is perpendicular to a and b. The formula for trapezium will be \(\frac{1}{2} (π+π)Γβ\)
A parallelogram has the following key features:
- Opposite sides are parallel to each other for both sides
- Parallelogram is a “slanted rectangle”, so length of opposite sides are equal
- The base and height is perpendicular to each other and the area is \(πππ πΓβπππβπ‘\)
Area Of Triangle
The area formula for a triangle is often one of the first formulas students learn in Mathematics. In this video, you will learn how the triangle area formula is derived from the area of a parallelogram, helping you understand where it comes from and remember it more easily.
Area Of Triangle=\(\frac{1}{2} baseΓheight\)
Semi-Circle, Quadrant, Chord, Sector & Segment
- Semi-Circle is when the diameter divides the circle into exactly 2 parts. Half of diameter is the radius
- Quadrant is when we cut the circle 4 parts. Each quadrant angle is 90Β°
- A chord is a line dividing the circle into 2 parts. The smaller part is known as the minor segment, and the larger part is known as the major segment.
- The smaller area encompassing the two radius and the arc is known as the minor sector, and corresponding larger sector is known as the major sector.
Formula For Circle, Segment & Sector
Here are the key formula for different parts of a circle that students must be familiar with:
- Area of circle\(=ππ^2\)
- Circumference of circle \(=2ππ\)
- Area of segment in a quadrant=\(=\frac{1}{4} ππ^2β\frac{1}{2} π^2\)
- Area of minor sector =\(\frac{x}{360}Γππ^2
\) - Arc length =\(\frac{x}{360}Γ2ππ
\)