Area of Quadrant

Area of quadrant is the space occupied by one-fourth part of a circle and is equal to one-fourth of the area of a circle. The formula for the area of a quadrant is 1/4 × area of a circle or is equal to πr²/4. And the units for area of quadrant is m², inch², cm².

Let us learn more about the area of quadrant, the formula of area of quadrant, steps to find the area of quadrant, and check the examples and FAQs.

The area of quadrant is the space occupied by one-fourth of part of a circle. Area of the quadrant is the two-dimensional space occupied by one-fourth of a circle. By cutting a circle with two perpendicular diameters we are able to make four parts of a circle, and each part of the circle is called the quadrant. Area of all the four quadrants of a circle are equal, and the sum of areas of the four quadrants is equal to the area of the circle.

The quadrant is half of a semi-circle, and the area of quadrant can be taken as half of the area of the semicircle. A quadrant is made of two perpendicular straight lines which are the radius, and an arc which is one-fourth of the circumference of a circle. The radius of the circle or the radius of the semicircle is taken as the radius of the quadrant of a circle.

Area of quadrant can be calculated from the area of a circle. The quadrant is one-fourth of a circle, and hence the area of the quadrant is one-fourth of the area of a circle. The area of a circle is π times the square of the radius of the circle, and is equal to πr². And the area of a quadrant is one-fourth of the area of the circle and is equal to πr²/4.

Area of Quadrant = Area of Circle/4

= πr²/4

Also the area of quadrant can be calculated from the diameter of the circle, and is equal to πD²/16. The units of area of quadrant is m², inch², cm².

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

Related Topics

The following topics would help in a better understanding of the area of the quadrant.

• Area of a Quarter Circle
• Circumference of Circle
• Semicircle
• Perimeter of Semicircle
• Area of Semicircle

What Is the Area Of Quadrant?

The area of the quadrant is the space occupied by the quadrant of a circle in a two-dimensional space. The area of quadrant of a circle is equal to one-fourth of the area of the circle and is equal to πr²/4. The units of the area of quadrant are m², inch², cm².

How To Find Area Of Quadrant?

The area of quadrant can be computed through three simple steps. Identify the radius of the quadrant from the radius of the circle, or the radius of the semicircle. Apply the radius value in the formula of area of the quadrant, which is equal to πr²/4. Compute the area of quadrant and apply the appropriate units m², inch², cm².

What Are The Units Of Area Of Quadrant?

The units of square units are used for the units of area of quadrant. The common units for area of quadrant are m², inch², cm².

What Is the Relation Between Area Of Circle And Area Of Quadrant?

The area of quadrant is derived from the area of a circle. The quadrant is one-fourth of a circle, and hence the area of quadrant is one-fourth of the area of a circle. The area of a circle is πr², and the area of quadrant is equal to πr²/4.