Area of a Circle

Need of Studying Area Related to Circles

Circles are the most general figures, in real-world scenarios, and hence calculating their area would be in turn useful. For example, if we want to calculate, the area of an athlete’s track, the area of a circular table, the area of a segment of a wheel outside the car, etc. The scope of the chapter is limited, to calculating the area of the combined figures, using circles, and basic 2-D figures....

Circumference of a Circle

Circumference is the distance around the circle. Archimedes was a mathematician and a physicist, who first calculated the value of π. He defined π(pie), as the ratio of the circumference of its circle, and the diameter....

Length of Arc of a Circle

Arc is the sub-length of the circumference of the circle. Given, a circle, whose centre is O, we need to find the length of the arc AB, ACB. We have two types of arcs in a circle i.e. Major arc, and Minor arc. The length of the major arc is more than the length of the minor arc. Here,  is the minor arc, and ACB, is the major arc....

Area of a Circle

The proof of the area of the circle is outside the scope of the current syllabus. Archimedes, found that area of the circle, by the method of exhaustion....

Area of Sector of a Circle

A sector is an area enclosed between 2 radii and the arc of a circle. Given, a circle, whose centre is O, we need to find the area of the sector OAB, and OACB. We have two types of sectors in a circle i.e. Major sector, and Minor sector. The area of the major sector is more than the area of the minor sector. Here, OAB is the minor sector, and OACB is the major sector....

Area of a Segment of a circle

The area enclosed, in 2 radii and an arc is called the area of the segment of a circle. In a circular region with centre O, two distinct segments can be identified: the minor segment, defined by the arc ABC, and the major segment, defined by the arc ACB. These segments are differentiated by their respective areas, with the major segment encompassing a larger area than the minor segment....

Area of Combined Figures

The most important part of this chapter is to find the area of the combined figures. In such problems, one figure is embedded into another figure, and we need to calculate the area of the remaining portion by calculating, by removing the extra area i.e.,...

Practice Problems on Area related to Circles

Problem 1. Find the area of the sector of a circle with a radius of 2 cm and of angle 60°. Also, find the area of the corresponding major sector (Use π = 3.14)....

FAQs on Areas related to Circles

Q1: What is a Circle?...