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 Related To Circles For Class 10

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.

Areas Related To Circles For Class 10

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 \(\theta\) = \(\mathbf{Area = \frac{\theta}{360} \times 2 \pi r }\)<

Areas Related To Circles For Class 10


Practise This Question

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