Natashia,
The area of the sector depends on the radius of the circle r and the measure of the angle t.
If the measure of the angle is 360^{o} the the sector is the entire circle and the area is r^{2}
area = r^{2}
If the measure of the angle is 180^{o} the the sector is one half the circle and the area is ^{1}/_{2} r^{2}
area = ^{1}/_{2} r^{2}
If the measure of the angle is 90^{o} the the sector is one quarter the circle and the area is ^{1}/_{4} r^{2}
area = ^{1}/_{4} r^{2}
If the measure of the angle is 45^{o} the the sector is one eighth the circle and the area is ^{1}/_{8} r^{2}
area = ^{1}/_{8} r^{2}
What you can see is that the area of the sector is a fraction of the area of the circle ^{}, and the fraction is the same fraction that the angle is of 360^{o}. Thus if the radius of the circle is r and the central angle of the sector has measure t then
the area of the sector is ^{t}/_{360} r^{2}.
Penny
