## What Is Sector Of A Circle

**Minor sector:**

A sector of a circle is called a minor sector if the minor arc of the circle is a part of its boundary

In Fig. sector OAB is the minor sector.

**Major sector:**

A sector of a circle is called a major sector if the major arc of the circle is a part of its boundary.

In Fig. sector OACB is the major sector.

Following are some important points to remember:

(i) A minor sector has an angle θ, subtended at

the centre of the circle, whereas a major sector has no angle.

(ii) The sum of the arcs of major and minor sectors of a circle is equal to the circumference of the circle.

(iii) The sum of the areas of major and minor sectors of a circle is equal to the area of the circle.

(iv) The boundary of a sector consists of an arc of

the circle and the two radii.

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