Question

With respect to the area of segment, choose the correct following option.

• A. It is the addition of the area of sector and area of triangle.
• B. It is the difference between the area of sector and area of triangle.
• C. It is the product of the area of sector and area of triangle.
• D. None of the above.

Answer 1

The correct option is B It is the difference between the area of sector and area of triangle.

Consider the following figure,


Here, the highlighted area is the area of the segment and this can be obtained after subtracting the area of triangle $AOB$ from the area of sector that subtends an angle $\theta$ at the centre $O$ of the circle.

Hence, the area of the segment is obtained as,

$\text{Area of segment}=\text{Area of sector}-\text{Area of trinagle}$