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

A. 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.

B. 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 90360 . Multiply the fraction by the area of the circle and then subtract the radius squared.

C. 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.

D. 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.

Respuesta :

D is your answer............

The area of a sector of a circle is determined by the fraction of the circle that the sector represents, and multiply it by the area of the circle.

What is a sector of a circle and its area ?

The  space enclose by sector of the circle is called the area of the sector. The circle is enclosed be two radii at each side and arc is a sector of circle.

The area of the sector of a circle is the fraction of the circle that the sector represents, and multiply it by the area of the circle.

Therefore, option D describes the  area of a sector of a circle.

Learn more about sector of circle and its area here:

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