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

determine the percent of the sector of the circle divided by the degrees in a circle. then find the number of triangles within a circle. divide the two numbers and multiply by the area of the circle.

the sector of a circle represents a part of a whole circle. determine how many sections of the sectors will fit in the circle. multiply this number by 180 and then multiply it by the area of the circle.

the sector of a circle is a fractional part of the circle. determine the fraction of the circle that the sector represents. multiply this fraction by the area of the entire circle.

find how many sector pieces fit in a circle. divide this number by the total degrees in a circle. then multiply the quotient by the diameter of the circle.