Basic Mathematics Form One Notes Pdf

Perimeters of Triangles and QuadrilateralsThe Perimeters of Triangles and QuadrilateralsFind the perimeters of triangles and quadrilateralsPerimeter
– is defined as the total length of a closed shape. It is obtained by
adding the lengths of the sides inclosing the shape. Perimeter can be
measured in 𝑚𝑚 , 𝑐𝑚 ,𝑑𝑚 ,𝑚,𝑘𝑚 e. t. cExamples

Example 1Find the perimeters of the following shapes

Solution

1. Perimeter = 7𝑚 + 7𝑚 + 3𝑚 + 3𝑚 = 20 𝑚
2. Perimeter = 2𝑚 + 4𝑚 + 5𝑚 = 11 𝑚
3. Perimeter = 3𝑐𝑚 + 6𝑐𝑚 + 4𝑐𝑚 + 5𝑐𝑚 + 5 𝑐𝑚 + 4𝑐𝑚 = 27 𝑐𝑚

Circumference of a CircleThe Value of Pi ( Π)Estimate the value of Pi ( Π)The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as3.14159.
It has been represented by the Greek letter "π" since the mid 18th
century, though it is also sometimes spelled out as "pi" (/paɪ/).The
perimeter of a circle is the length of its circumference 𝑖. 𝑒
𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 = 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒. Experiments show that
the ratio of the circumference to the diameter is the same for all
circles

The Circumference of a CircleCalculate the circumference of a circleExample 2Find the circumferences of the circles with the following measurements. Take 𝜋 = 3.14

1. diameter 9 𝑐𝑚
2. radius 3½𝑚
3. diameter 4.5 𝑑𝑚
4. radius 8 𝑘𝑚

Solution

Example 3The circumference of a car wheel is 150 𝑐𝑚. What is the radius of the wheel?SolutionGiven circumference, 𝐶 = 150 𝑐𝑚

∴ The radius of the wheel is 23.89 𝑐𝑚 Areas of Rectangles and TrianglesThe Area of a RectangleCalculate the area of a rectangleArea
– can be defined as the total surface covered by a shape. The shape can
be rectangle, square, trapezium e. t. c. Area is measured in mm!,
cm!,dm!,m! e. t. cConsider a rectangle of length 𝑙 and width 𝑤

Consider a square of side 𝑙

Consider a triangle with a height, ℎ and a base, 𝑏

Areas of Trapezium and ParallelogramThe Area of a ParallelogramCalculate area of a parallelogramA parallelogram consists of two triangles inside. Consider the figure below:

The Area of a TrapeziumCalculate the area of a trapeziumConsider a trapezium of height, ℎ and parallel sides 𝑎 and 𝑏

Example 4The area of a trapezium is120 𝑚!. Its height is 10 𝑚 and one of the parallel sides is 4 𝑚. What is the other parallel side?SolutionGiven area, 𝐴 = 120 𝑚 ² , height, ℎ = 10 𝑚, one parallel side, 𝑎 = 4 𝑚. Let other parallel side be, 𝑏Then

Area of a CircleAreas of CircleCalculate areas of circleConsider a circle of radius r;

Example 5Find the areas of the following figures

Solution

Example 6A circle has a circumference of 30 𝑚. What is its area?SolutionGiven circumference, 𝐶 = 30 𝑚C = 2𝜋𝑟

Basic Mathematics Form One Notes Pdf

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