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.
We can calculate the Area of Quadrant using different methods such as using radius ,using diameter and using area of sector:
Area of Quadrant of Circle using Radius
We can calculate the quadrant of a circle by using Radius. We know that Area of Quadrant is directly proportional to the square of its radius:
Area of Quadrant = 1/4 (Area of Circle)
Area of Quadrant = 1/4 × π × r2
Where,
- “π” (pi) is a Constant equal to 22/7 or 3.14159
- “r” is radius of the circle.
Area of Quadrant of Circle using Diameter
We can calculate the quadrant of a circle by using the diameter of a circle, we know that radius is equal to the half of the diameter:
we know that radius is half of the diameter r = d/2.
Area of quadrant = 1/4 × π ×(d/2)2
Area of quadrant = 1/4 × π ×(d2/4)
Area of Quadrant = 1/16 × π × d2
Where,
- “π” (pi) is a Constant equal to 22/7 or 3.14159
- “d” is diameter of the circle.
Area of Quadrant of Circle using Area of sector
We can calculate the quadrant of a circle by using the area of sector of a circle, As we know that quadrant of circle is also a sector of the circle ,we can obtain the area of a quadrant.
Area of a sector of a circle = (θ/360°) × π × r2
In a Quadrant θ = 90°
Area of a quadrant = (90°/360°) × π × r2
Area of a quadrant = 1/4 × π × r2
Where,
- “π” (pi) is a Constant equal to 22/7 or 3.14159
- “r” is radius 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