Area of Quadrilaterals and Circles and Sectors

What is/are the formula(s) to find the area of a circle?

• πr²

• 2πr

• √π

Tags

CCSS.7.G.B.4

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5

• 9

• 8

• 6

Tags

CCSS.HSG.C.B.5

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113

Tags

CCSS.HSG.C.B.5

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle

• arc length of a circle

• sector of a circle

• segment of a circle

What is the arc length of minor arc AB?

• 5.23

• 103

• 33.33

• 50

Tags

CCSS.HSG.C.B.5

What is the area of the shaded segment?

• 185.0619

• 88.9359

• 39.3078

• 5.7975

Tags

CCSS.HSG.C.B.5

A ____ angle is an angle whose vertex is a the center of a circle.

• supplementary

• complimentary

• central

• obtuse

Tags

CCSS.HSG.C.A.2