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Vocabulary:
SECTOR of a circle: a region bounded by an arc of the circle and the two radii to the arc’s endpoints
SEGMENT of a circle: a part of a circle bounded by an arc and the segment joining its endpoints
Area of a Sector of a Circle
Area of a Circle: πr2
Area of a Sector of a Circle: The area of a
sector of a circle is the product of the area
and (measure of arc/360)
Area of sector AOB = m AB * πr2
360
Area of a Sector of a Circle
Area of sector AOB = m AB * πr2
360
Area of sector AOB = 130 * π(4)2
360
Area of sector AOB =
18.15 sq units
A
B
O
4 1300
Area of a Sector of a Circle
Area of sector AOB = m AB * πr2
360
Area of sector AOB =
A
B
O
10
400
Area of a Segment of a Circle
A circle has a radius of 10 cm. Find the
area of the smaller segment of the circle
determined by a 900 arc.
A
B
O
10
Area of a Segment of a Circle
A circle has a radius of 12 cm. Find the
area of the smaller segment of the circle
determined by a 600 arc.
A
B
O12
600
