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

Suppose a sector of a circle with radius r has a central angle of 0. 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 central angle to the measure of a

rotation of the circle. A full rotation of a circle is 27 radians. This proportion can be written as



Multiply both sides by Trp2 and simplify to get

1, where

is the measure of the

central angle of the sector and r is the radius of the circle.