Area of Quadrant

The locus of all equidistant locations from the center is defined as a circle. A quadrant is a one-fourth segment of a circle that is formed when a circle is divided evenly into four sections, or rather four quadrants, by a pair of perpendicular lines. Let us look at what a quadrant is and how to calculate the area of a quadrant using examples in this article.The four halves of the coordinate plane system are referred to as quadrants. A quadrant is the name given to each of the four divisions. When it comes to circles, a quarter of a circle is referred to as a quadrant, which is a 90-degree sector. When four of these quadrants are brought together, the only structure that remains is a circle.

The four halves of the coordinate plane system are referred to as quadrants. A quadrant is the designation given to each of the four divisions. When a circle is involved, the quarter of a circle is referred to as a quadrant, which might be a sector of ninety degrees each. The structure that we have a tendency to get when we unite four such quadrants is nothing but a circle.

Each section of a circle that is divided into four equal parts is known as a quadrant of a circle. Each of the four circle quadrants covers a 90-degree angle, for a total of 360 degrees. In an anti-clockwise direction, the quadrants are labeled first quadrant, second quadrant, third quadrant, and fourth quadrant.

What Is a Quadrant Area?

The space occupied by one-fourth of a circle is known as the quadrant area. The two-dimensional space occupied by one-fourth of a circle is known as the quadrant’s area. We can produce four sections of a circle by cutting a circle with two perpendicular diameters, and each portion of the circle is termed a quadrant. The area of all four quadrants of a circle is equal, and the sum of the four quadrants’ areas equals the circle’s area.

The quadrant is half of a semicircle, and the area of the quadrant equals half of the semicircle’s area. A quadrant is made up of two perpendicular straight lines (the radius) and an arc (one-fourth of a circle’s circumference). The radius of the quadrant of a circle is equal to the radius of the circle or the radius of a semicircle.

The area of a quadrant can be calculated using the below method.

To calculate the area of a quadrant, you must first calculate the area of a circle, which is given by x2, where x equals the radius of the circle.

The area of a quadrant is equal to one-fourth of the area of a circle and is defined as the space filled by one-fourth of a circle. The formula for calculating the area of a quadrant is 1/4 the area of a circle, or r2/4. The area of a quadrant is measured in m2, inch2, and cm2.

Steps to Find Area of Quadrant

The area of the quadrant can be easily computed from the radius of the quadrant. The following steps are helpful to find the area of a quadrant of a circle.

1. Take the measure of the radius of the quadrant, which is the same as the radius of the referred circle. Also, the radius is equal to half of the diameter of the circle.

2. Calculate the area of the circle from the area of the radius of the circle.

3. Compute the area of the quadrant which is one-fourth of the area of the circle.

4. Apply the appropriate square units to the area of the quadrant.

Point To Remember:

• The Quadrant can be understood as the space occupied by one-fourth of a circle . The two-dimensional space occupied by one-fourth of a circle is known as the quadrant’s area.

• The formula for calculating the area of a quadrant is 1/4 the area of a circle, or r2/4.

 The area of a quadrant is measured in m2, inch2, and cm2.