Mathematics

Joyce Higgins

29 March, 04:24

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

A. The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.

B. To find the area of a sector, divide the angle by the total amount of degrees in a triangle then multiply it by the area of the circle.

C. The area of a sector can be found by using the formula for the area of circle multiplied by how many angles are in the circle.

D. To derive the area of a sector, make a right triangle with the right angle located at the center of the circle. The angle of the triangle divided by the angles in a circle is 90/360. Multiply the fraction by the area of the circle and then subtract the radius squared.