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 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