Area of Quadrant

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

The area of a quadrant is the space occupied by one-fourth region of a circle. A quadrant is equal to one-fourth of the area of a circle. The formula to calculate the area of a quadrant is 1/4 × π × r2

2. What is the Formula of Area of Quadrant?

The formula of Area of quadrant = 1/4 ×π × r2

3. What is the Unit of Area Of Quadrant?

The units of square units are generally used for the units of area of quadrant. The common units for area of quadrant are meter square units, inch square units, centimeter square units.

4. What is Area of Quarter Circle?

The area of Quarter Circle is the one-fourth of the area of a circle. The area of a circle is π × r2 and The area of quadrant is equal to 1/4 × π × r2

5. What is Quadrant of a Circle?

The quadrant of a circle is the one fourth portion of a circle. The quadrant of a circle is also called the quarter of a circle.

6. What is Area of a Sector Formula?

The area of a sector of circle is given as (θ/360°) × π × r2

7. What is the Perimeter of a Qudrant?

The Perimeter of a quadrant is given as sum of length of two radii and one fourth of the circumference of the circle



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?...