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

AThe 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.

BTo 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.

CTo 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.

DThe 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.

Verified Answer :

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.

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