Area of a Sector

Find the area of the shaded sector of the circle. Leave your answer in terms of π. Pro Tip: Find the angle for the yellow section FIRST.

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Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

What is the green area called?

• sector

• segment

• arc

• section

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

What is the ϴ called?

• sector

• segment

• arc

• central angle

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5

Calculate the area of the sector.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 339.29 in²

• 113.04 in²

• 39.29 in²

• None of the above

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

Find the area of the shaded space.

• 113.10 units squared

• 150.80 units squared

• 157.82 units squared

• 10.92 units squared

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

Find the area of the sector, rounding your answer to one decimal place.

• 2.1cm²

• 2.0cm²

• 0.5cm²

• 12.6cm²

Tags

CCSS.HSG.C.B.5

What is the area formula for a circle?

• A = πr²

• A = 2πr

• A = √π

Tags

CCSS.HSG.GMD.A.1

Find the area of the sector formed by arc s. Notice: this angle is in radians.

• 4.71

• 9.4

• 12.5

• 3.14

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the area of the sector formed by arc s. Notice: this angle is in radians.

• 75.4

• 37.7

• 150.8

• 3.2

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5