Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.
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Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the _________ to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as A/πr2=___________. Multiply both sides by πr2 and simplify to get _________, where θ is the measure of the central angle of the sector and r is the radius of the circle.

(answers in image)