We have come across many shapes such as circle, square, triangle and the list goes on! To our surprise, the triangle holds a special place in maths. And why is that so? That’s because a complete branch of mathematics called ‘Trigonometry’ is committed to analysing triangles. In fact, the word ‘Trigonometry’ itself gives us an …
In the previous chapter, we have studied about trigonometric ratios. But ever wondered where these ratios, or say, trigonometry is used? Or what are the applications of trigonometry in our day-to-day life? Well, this is the apt location to find that out! In this chapter, we will learn numerous astonishing ways in which trigonometry is …
Try solving this riddle. I have no vertices. I have no flat faces. I have infinite axes of symmetry. Who am I? It’s a Circle. We find circular objects everywhere from round cakes and bangles, to dartboard and cycle wheels. No wonder, the world of circles takes us to another tangent. Surprisingly, tangents are exclusively …
The wheel is considered as one of the best inventions made by the humankind. As you may know, the wheel is circular in shape. So it was the concept of a circle which is making our life easier in every field. Without that, we won’t have been reaching to great distances. If you have a …
Things look far different in real life as against their pictorial depictions. It is because pictorial depictions, make us understand the architecture of any design or structure in a specific way. To understand the architecture, it is necessary for us to be equipped with the knowledge of using specific tools and constructing the shapes. In …
In our previous grades, we learned the formula to calculate the area of the triangle. Can you recall that? ½ (Base x Height). Let’s consider a triangle. The sides of the triangle measures, 4 cm, 3 cm and 6 cm. Now, can you calculate the area? By using the above formula, we cannot. So what …
Can you tell what is the difference between the surface area and the total surface area of any shape? Both sound the same, right? So why do we have two different formulae for these? You will know the answers to these questions yourself, once you start observing shapes and figures closely. In this chapter, we …
How do we know that the average rainfall the city received in July is 460mm? Or How can we conclude that China has the largest population in the world? Mathematics helps us. A field of mathematics called ‘Statistics’ does the work. Statistics assist us in the collection of data, analysing it, and further interpreting it, …
If we ask a cricket captain, to what are the chances that his team will win the game, he might turn up and say ‘50%’. This means there are 50% chances of winning and 50% chances of losing the game. The captain assumes this by taking into consideration all the aspects of the team playing …
We all know Pythagoras theorem by now. But did you know it played a crucial role in proving that irrational numbers exist? Yes! A triangle with two sides except for hypotenuse, measuring 1 unit was taken into consideration. The length of the hypotenuse will thus be the square root of 2. By using various equations …
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