NCERT Books for Class 10 Maths Chapter 12 - Areas Related to Circles - Free PDF Download

This chapter covers topics on areas related to circles.

• The first topic of this chapter talks about: 

The area of A circle can be calculated with circumference divided by its radius.

• The second topic revolves around: 

Its area increases with the number of concentric circles drawn around it. 

That means that an area enclosed by three concentric, like a triangle (with sides), would require 3 times as much area as an area enclosed by two concentric, like a rectangle or a square.

• The third topic focuses on: 

For three concentric, it would require 2.8 times as much area as for two concentric. For four concentric, it would require 3.7 times as much area as for two concentric and so on.

Area of a circle: formula_1 = formula_2(plural) × radius × radius = 1/2 × radius² × radius

where formula_3 = perimeter and r = radius.

Area of a circle: formula_4 = formula_5(plural) × radius × radius = 2 × radius² × radius

where r is the radius of a circle with a perimeter of a, and formula_6 is its circumference.

Area of a circle: formula_7 = formula_8a(plural)

where a is the radius of a circle with a perimeter of p.

Area of a circle: formula_9 = (area of the triangle with sides p and r) × (area of the triangle with sides r and s)

where formula_10, and formula_11 is the area of an equilateral triangle. The area of an equilateral triangle is half the sum of the areas of the two equal triangles contained within it.

Tips to prepare for Chapter 12 Areas Related To Circles of NCERT for class 10 Mathematics

Chapter 12 is mainly about the areas related to circles and how they work and certain things that increase the area of a circle.

• Here are a few ways to prepare for this chapter:

• First of all, look at the previous chapter and go through the important formulas like Area of a Parallelogram, Area of a Triangle, etc. You can also go through areas related to trapeziums and parallelograms.

• Take an area chart. Study it properly. 

• Keep on revising these areas regularly to clear this chapter easily.

• You can try to solve this question by just writing down the formula and calculating. Once you have a good idea of how to work it, try solving the questions in a more time-bound way.

• You can keep on revising these chapters till Chapter 11, then start going for new topics again. You must go through previous things, again and again, to clear your doubts before moving on to new stuff.

• You can look at some more practical problems of Circles, Parallelograms and triangles.

• You can also try solving these problems by just writing down the formula and calculating. Once you have a good idea of how to work it, try solving the questions in a more time-bound way.