Area Sectors

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

Suppose a sector has an area of 25 ft². If the central angle is 75°, then what is the radius of the circle?

• 3 ft

• 38.197 ft

• 6.180 ft

• 19.099 ft

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 ϴ called?

• sector

• segment

• arc

• central angle

Tags

CCSS.HSG.C.A.2

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²

• What's Pacman?

• 39.1 mm²

• 9.77 mm²

Tags

CCSS.HSG.C.B.5

Suppose a sector has an area of 48 cm². If the radius of the circle is 4 cm, then what is the central angle?

• 48°

• 16°

• 343.775°

• 376.991°

Tags

CCSS.HSG.C.B.5

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

• 3.3 ft²

• 4.5 ft²

• 6.3 ft²

• 7.1 ft²

Tags

CCSS.HSG.C.B.5

What is the area of the shaded region? Leave answers in terms of π.

• ⅜π

• 8/3π

• ⅔π

• 4/3π

Tags

CCSS.HSG.C.B.5

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

• (464/9)π mm²

• (112/9)π mm²

• (116/9)π mm²

• (28/9)π mm²

Tags

CCSS.HSG.C.B.5

is the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Tags

CCSS.HSG.C.B.5