# Areas Related To Circles For Class 10

A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

Perimeter and Area of a Circle-

The perimeter (usually known as Circumference) of a circle is defined as length of the boundary of a circle, which is given as

Circumference = 2 π r,

where the value of π = 3.14,

r is the radius of a circle

Area of a Circle is defined as the region covered by a circle in a plane. The area of a circle is given as-

A = π r2

Areas of Sector and Segment of a Circle-

A sector is defined as circular region enclosed by two radii and the corresponding arc.

Whereas the segment is defined as the circular region enclosed between a chord and the corresponding arc.

The area of Sector of angle $\theta$, where $\theta$ is the angle between two radius is given by,

$\mathbf{Area = \frac{\theta}{360} \times \pi r ^{2}}$

Length of an Arc of a Sector of angle $\theta$ = $\mathbf{Area = \frac{\theta}{360} \times 2 \pi r }$<

#### Practise This Question

When we divide 3t4+5t37t2+2t+2   by   t2+3t+1, we get 3t24t+2.