# Understanding the Concept of a Sector in Geometry and its Area Calculation:

The area of a sector is the basic concept of the geometry that relates the circle and their angles. They understand in a better way the concept of the area of a sector calculator and their area calculation is made easy with the help of the following article. We also know that the circle is enclosed by two radii and an arc.

With the aid of this area of a sector calculator, you can find the area of a sector as well as the arc length. Before we move further we want to take a look at the simple definition of the area of a sector and tell you for which purpose this is used. Just you need to memorize some terms that are as follows.

## What is an Area of a Sector?

### In Geometry:

The fractional area of the circle is called the area of a sector. We also say that the region that is enclosed by a portion of a circle is called the area of a sector. This is the basic and the fundamental concept that tells about the sector is the fractional part of the entire circle.

The area of a sector is estimated by figuring out the central angle of the two radii (θ) by which we can drive the proportion of the sector to full the circles' central angle which is 360 degrees as well as the sector of the area to full the angle of the circle (π * r²).

## Calculating the Area of a Sector with Angles in Degrees and Radians:

The following formula is to be used to evaluate the area of a sector, use this one:

### When the angle (θ) is in degrees:

Area = (θ/360) * π * r²

### When the angle (θ) is in radians:

Area = (θ/2) * r²

### where:

• π is the mathematical constant that is equal to the 3.14159
• The central angle is represented with the θ in the formula
• r is the radius of the circle.

By using the appropriate formula based on the angle's unit (degrees or radians), one can accurately compute the area of the sector enclosed by a specific angle within a circle.

## Area of a Sector vs. Area of a Circle:

The area of a sector indicates the whole space that in between the circle while the sector area depends on the central angle that covers the greater fraction. In geometry, the area of a sector and the area of a circle are related to each other but there are some distinct concepts that are as follows:

### Area Of a Circle:

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The amount of space that is covered by the circle's boundary is referred to as the area of a circle. The formula that is used to evaluate the area of any circle by the area of a sector calculator is as follows:

Area of Circle = π * r²

#### Where:

• π (pi) = The constant is approximately equal to 3.14159.
• r is the radius of the circle.

### Area Of a Sector:

The area of a sector is the region that is enclosed by the part of the circle is known as the area of a sector. It is defined by the central angle and the two radii. We can calculate the sector area with the help of the following formula:

Area of Sector = (θ/360) * π * r²

#### Where:

• θ = central angle of the sector in degrees

## Is The Sector Angle The Same For Every Sector?

The sector area varies with the sector angle so we say that not at all sector angles are the same as the sectors. Hence, it may be calculated by using the area of a sector formula:

### For Example:

• Octants have a sector angle that is equal to the 45 degrees
• The sector angle in the sextant is to be equal to the 60 degrees
• There are 90 degrees of sector angle in the Quadrants

In case of any difficulty, you can use an area of a sector calculator for instant and precise outcomes.