# What is a sector of a circle?

A circle is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.

## Answer: The area enclosed by two radii and the corresponding arc in a circle is called a sector.

Let us explore the sector of a circle in detail.

**Explanation:**

A sector of a circle is defined as the portion of a circle that is enclosed between its two radii and the arc adjoining them.

Look at the following figure.

The region OAPB is called the minor sector and the region OAQB is called the major sector.

The shape of slices of a circular pizza is like a sector. Each slice is a sector.

Semi circle is also a sector of 180°.

If the radius of the circle is (r) and the angle of the sector is (**θ**), then the formula used to calculate the area of the sector is:

Area of sector (A) = (**θ**/360°) × π** **r^{2}

### Thus, the area enclosed by two radii and the corresponding arc in a circle is called a sector.

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