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 21 radians. This
proportion can be written as 4 = 1
Multiply both sides by arra and simplify to get
where
is the measure of the central angle of the sector and r is the radius of the
circle.