What is Quadrant of a Circle?

A quadrant is one-fourth part of a circle. A Quadrant is defined as the region formed by two coordinate axes namely the x and y axes within a circle at a right angle. A circle is a 2-D closed shape that consists of multiple focuses that are equidistant from a fixed point on the inside of the shape. When a circle is divided into four equal parts it gives 4 quadrants. These regions may include positive and negative values of both coordinate axes. In terms of a circle, the quarter of a circle is known as a quadrant, which is a segment of 90-degree angle. Each divided quadrant is equal in size and at the midpoint of a circle or the center O, they all make a 90-degree right angle.

Definition of Quadrant

A Quadrant is defined as the region formed by two coordinate axes namely x and y axis passing through the center within a circle at a right angle. These regions may include positive and negative values of both coordinate axes. When a circle is divided into four equal parts it gives 4 quadrants.

Area of a Quadrant

Area of a Quadrant is defined as the one-fourth space of a circle as a Quadrant is the one-fourth part of a circle. A circle is defined as the locus of a considerable number of focuses that are equidistant from the inside of the circle. When a circle is partitioned equally by drawing two perpendicular diameters, it results in making four parts of a circle. Each Part of a circle is called a Quadrant. The Areas of all four quadrants of a circle are equal, and the sum of the areas of the four quadrants is again equal to the area of the circle.

In this article, we will learn what is a Quadrant, what is an Area of Quadrant, Area of Quadrant Formula, and solve some problems based on it. So Let’s start learning about quadrants with a clear definition of the Area of Quadrant fundamental concept in mathematics.

Table of Content

  • What is Quadrant of a Circle?
  • Area of Quadrant Formula
  • How to Find the Area of Quadrant?
  • Solved Examples
  • Practice Problems

Similar Reads

What is Quadrant of a Circle?

A quadrant is one-fourth part of a circle. A Quadrant is defined as the region formed by two coordinate axes namely the x and y axes within a circle at a right angle. A circle is a 2-D closed shape that consists of multiple focuses that are equidistant from a fixed point on the inside of the shape. When a circle is divided into four equal parts it gives 4 quadrants. These regions may include positive and negative values of both coordinate axes. In terms of a circle, the quarter of a circle is known as a quadrant, which is a segment of 90-degree angle. Each divided quadrant is equal in size and at the midpoint of a circle or the center O, they all make a 90-degree right angle....

What is Area of a Quadrant of Circle?

Area of a quadrant is the one-fourth of the area of a circle. It means that a quadrant of a circle occupies space equal to the one fourth of the total space occupied by a circle. It can be also said that area of quadrant is half of the area of the area of the semicircle. Thus to find the area of a quadrant of a circle we just need to divide the area of the circle of which quadrant is a part. Since, we know that a quadrant is surrounded by two radii and an arc, such that the two radii are perpendicular. Hence we can say that a quadrant is a sector whose central angle is 90°. Thus we can find the area of the using the area of quadrant formula by keeping the central angle to be 90°. Let’s learn more about the formulas of Area of Quadrant....

Area of Quadrant Formula

A quadrant is known as one-forth part of a circle. So to find the area of a quadrant of a circle, we need to divide the area of circle by 4 parts to proportionate it to the area of the one-fourth part of the circle, to calculate area of quadrant....

How to Find the Area of Quadrant?

Various steps required to find the area of the quadrant are given below:...

Solved Examples on Area of Quadrant

Example 1: A large drum is in a circular shape. Its radius is 5 units. What is the area of quadrant?...

Practice Problems on Area of Quadrant

Problem 1: Given a circle shaped rope with a radius of 8 meters, find the area of quadrant....

Area of Quadrant – FAQs

1. What is an Area of a Quadrant of Circle?...