Studyspiration - Blog Posts

Theorem: Take a circle, the area of this circle is the same as area of a right triangle that has one leg equal to the radius and one leg equal to the circumference of the circle..

A long time ago in a faraway land people led simple lives by the means of agriculture. There was plenty of food to eat and to be merry. They had roofs on their head and fresh river water flowing nearby. Life seemed perfect but it was not. Every year when the rains 🌂 began, the river nearby would flood into the village and destroy their lands and homes. The people in the village would move to a nearby village for shelter with their cattle. When the rain stopped they used to come back and each time they came back they found their place in destruction. Their houses had to be rebuilt and their lands had to be outlined again. Fights were a common scene on how the outline was before the water washed it away. So the concept of the area came to maintain peace.

Finding areas of lands made with straight lines was easy but how to find the area of a land that is a curve ?

Firstly instead of taking a land made up of crazy curves let's take a land made up of the simplest curve, the circle.Draw a circle and fill in its area. Then divide it into large equal parts and arrange them in a rectangle.

It's not yet a perfect rectangle.So divide the circle in parts and try arranging these sections into a rectangle.You'll get a thing that starts looking like rectangle.

Now as you divide the circle more and more and try to arrange those parts you'll get a more nice rectangle. This more and more is nothing but the concept of limits in calculus.

So the area of the circle is the area of the rectangle.The area of the rectangle is Base×Height. Here the height of the rectangle is the radius of the circle and Base is equal to twice the area of the circle. So cut up the rectangle diagonally and you'll get a right-angled triangle with a Base as the radius of the circle and height as the circumference of a circle.

To Kill A Mocking Bird By Harper Lee

"Shoot all the blue jays you want,if you can hit'em, but remember it's a sin to kill a mocking bird"

This book throws light on various topics like prejudice, racism, civil rights, gender roles, perception, integrity without discussing them explicitly yet showing us a way to comprehend all of the topics and their effects on society.

The events take place in Maycomb, Alabama around the 1930s. It is as seen through the eyes of Scott Finch, a young bright girl of 6, inquisitive and brave to say the least. The book has the power to connect with the reader at a deeper level and help change the perspective on how one sees the world and the people in it.

Hello, welcome to mayusthings where I'll be simply talking about my daily life as a maths undergrad and topics in mathematics that gets me jumping out of happiness!

I hope through this blog that people will get to see that mathematics is a cool subject that can be conquered one step at a time. I also want to make it more accessible to everyone.

Hope to see you around:)

Picture credits:étoiles on Pinterest.