Question

Find out the sector when the circle is cut in half.
A. quadrant
B. semicircle
C. minor sector
D. none of these

Answer 1

Hint: We are going to define all the given options of the problem. Then we are going to understand it with the help of image form. Then we will find out the solution of the problem with help of that.

Complete step-by-step answer:
We are trying to find the sector when a circle is cut in half.
The first option gives quadrant which means the four parts of the 2-D plane. It’s also called a cartesian plane which is divided into four quadrants.

Third option gives a minor sector which means when a circle is cut by any chord of any length then the circle gets divided into two parts according to the length of the arc. These are called minor and major sectors. Arc with greater length crates major sector and arc with lesser length crates minor sector. In the below image $\overset\frown{APB}>\overset\frown{AOB}$. So, the minor sector is created by $\overset\frown{AOB}$, the shaded area.

We already got the general idea about the sector. The more particular part of the sector is semicircle, the second option.
When a circle gets cut in half, each sector becomes equal in arc length and created sector area. Each half sector is called half-circle, the other name being semi-circle.
In the following image $\overset\frown{APB}=\overset\frown{AOB}$. So, each sector is called a semi-circle and they are of equal area.

So, the correct answer is “Option B”.

Note: We need to remember the difference between sectors and semicircles. Also need to remember how the chord plays the most important part.