Question

1.Which explanation justifies how the area of a sector of a circle is derived?

Answer 1

The correct answer is 
2) Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.
area of the circle is calculated by;
area = πr² , where r- radius of circle
the central angle of a circle is 360°. Area of the circle is calculated for central angle of 360°. 
Sector is when 2 arms/ radii enclose a central angle between them.
area for 360° = πr²
area for 1 °    = area/ 360
area for central angle of sector = area * angle/ 360
the angle of sector is divided by 360 and taken as a fraction .this fraction of the total area of the circle is taken as the area of the sector.