Question

What is area of minor segment
What is area of major sector
What is area of major segment

Answer 1

Dear student,
T​​​​​​he area of the segment (minor) can be calculated by subtracting the area of the triangle from the area of the sector. The area of the major segment can be calculated by taking the area of the minor segment from the total area of the circle.

A sector is like a “pizza slice” of the circle. It consists of a region bounded by two radii and an arc lying between the radii.

The area of a sector is a fraction of the area of the circle. This area is proportional to the central angle. In other words, the bigger the central angle, the larger is the area of the sector.

Formula:
$$\begin{gathered} A=\frac{\theta }{360°}{\mathrm{\pi r}}^2\mathrm{\theta }\mathrm{in}\mathrm{degree} \\ \mathrm{A}=\frac{1}{2}{\mathrm{\theta r}}^2\mathrm{\theta }\mathrm{in}\mathrm{radians} \end{gathered}$$

Regards