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
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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.