G10.7 - Areas of segments, the "pizza crust"

Strategy to find the area of the shaded purple segment...

• get the area of the circle and subtract out the sector

• get the area of the sector and subtract out the triangle

• get the area of the triangle and subtract the segment

• press skip and simply move on...

Tags

CCSS.HSG.C.B.5

What is the name of the blue region?

• A sector

• A segment

• A hooly bob

• A central angle

Tags

CCSS.HSG.C.B.5

CCSS.HSG.C.A.2

The shaded regions include...

• two sectors and a circle

• two segments and a circle

• a diamond and a circle

• two sectors and a diamond

How is the purple region found?

• 49 π (100/360) - (1/2 ∙ 7 ∙ sin100 ∙ 7)

• 49 π - (7 ∙ sin100 ∙ 7)

• 49 π (100/360) - (7 ∙ sin100 ∙ 7)

• 49 π (260/360) - (1/2 ∙ 7 ∙ sin100 ∙ 7)

Mark all that show a shaded segment.

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What is the area of the yellow shaded segment if r = 5 and arc AB = 120?

• 15.35 unit²

• 18.75 unit²

• 9.45 unit²

• 29.95 unit²

What's the area of the shaded segment? STEPS: Get area of circle, multiply by (the central angle/360), then subtract out 1/2 SAS.

• 22.11 cm²

• 11.22 cm²

• 44.77 cm²

What is the area of the shaded segment?

• 64π - 1/2 base times height

• 64π (60/360) + (8 ∙ sin 60 ∙ 8)

• 64π (120/360) - (1/2 ∙ 8 ∙ sin 60 ∙ 8)

• 64π (60/360) - (1/2 ∙ 8 ∙ sin 60 ∙ 8)

The area of the segment is...

• 9.83 m²

• 7.83 m²

• 15.83 m²

• 8.13 m²

Tags

CCSS.HSG.C.B.5

If you were to estimate the area of the orange segment, it is...

• a little less than half the area of the circle

• a little more than half the area of the circle

• about 20 percent of the circle

• 36π cm²