Topics in Mathematics
Angles, Type of Angles Lines in Mathematics Introduction to Number Bases with worked examples Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Factorising Quadratic Equation Algebra Explained with examplesAcademic Questions in Mathematics
The two sides that forms an angle are referred to as the _____.
The point where the two sides of an angle meet is termed the _____.
How many digits are there in 223.00
30% of 2 is equal to _____.
Angles, triangles, squares, circles, cubes, cones and cylinders are all part of geometry in mathematics.
Geometry is the branch of mathematics that deals with the study of shapes, sizes and dimensions of a variety of things.
As a mathematics student, understanding angles is very important because it’s vital in building, constructions and designs. Sailors use angles to navigate their path along the sea while a carpenter can apply them to make beautiful designs of his job. Amazingly, sport men and women can utilize angles in making an excellent performance. For instance, the use of angles can be applied in taking throws in basket ball while a footballer can actually use it to curl a freekick into the football net.
By definition, an angle is a figure formed by two sides sharing a common endpoint.
For instance, an angle is formed where two walls in the corner of our homes meet OR at the point where the two arms of a scissors meet.
Note: The two sides that forms the angle are called Arms or Rays while the endpoint where both sides meet is called Vertex. The figure below illustrates this.
Image Credit: M.Tau.Ac.Il
Note: The angle formed will depend on the amount of turn between each arm.
Image Credit: Wyzant
Most times, an angle is represented by the figure ∠. The angle in the above figure can be represented as ∠ ABC. The unit of an angle is in degree (that is, angles are measured in degrees and a protractor can be used to achieve this).
Angles can be labeled mainly in two ways
1. By using the three letters on the shape of the specific angle: Importantly, the angle is formed on the middle letter; which is its vertex. Recall that the vertex is where both sides of the angle meet.
In tha above diagram, the angle will be labeled as ∠ ABC
2. By giving the angle a name: The name are often denoted with a Greek letter like α (alpha) or θ (theta). Also, we can also name the angle with a lowercase letters like p or q.
Still using the above diagram as a basis, the angle will be labeled as ∠α
An angle can be categorized as either interior or exterior based on where they are formed with regards to a shape.
Image Credit: Maths is Fun
Interior angles are formed inside a shape. In the above diagram, the angle is formed inside a pentagon. (A pentagon has 5 sides and 5 angles)
Exterior angles are formed outside a shape via a line extending from the adjoining sides. Please read on type of lines here.
The type and name of an angle can be determined based on it’s measurement. If we increased the size of the angle to a certain degree, the name of the angle changes automatically. For instance, an angle less than 90^{o} is named as an acute angle but as soon as we increase the size of the angle to 90^{o}, its name changes to a right angle.
Image Credit: Aplus Topper
Acute Angle: An angle that is less than 90^{o}
Right Angle: An angle that is exactly 90^{o}
Obtuse Angle: An angle that is greater than 90^{o} but less than 180^{o}
Straight Angle or Angle on a Straight Line: An angle that is exactly 180^{o}
Reflex Angle: An angle that is greater than 180^{o} but less than 360^{o}
Complete Angle or Full Rotation Angle: An angle that is exactly 360^{o}
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Amazing facts in Mathematics
1000
From 0 to 1000, the only number that has the letter “a” in it is “one thousand”.
÷
The division symbol "÷" is actually called an obelus
NOTABLE POINTS IN Mathematics
Circumference in mathematics means the distance around the edge of a circle (or a another curverd surface).
Perimeter means the distance around a square or rectangle or polygon.
Circumference is to circle or any other curved surface
Image Credit: Ducksters
Perimeter is to square or rectangle or polygon
Image Credit: Maths is Fun
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