11.3 Sectors and Arcs Quiz
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1 Name: lass: ate: I:.3 Sectors and rcs Quiz Multiple hoice Identify the choice that best completes the statement or answers the question.. ( point) Jenny s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle of 20. What is the area of Jenny s slice of cake? Give your answer in terms of π. a. 300π cm 2 b. 0π cm 2 c. 50π cm 2 d. 3600π cm 2 2. ( point) Find the arc length of an arc with measure 30 in a circle with radius 2 in. Round to the nearest tenth. a. 4.5 in b. 2.3 in c. 0.2 in d. 0.5 in ONUS. (2 points) Find the area of segment POM. Round to the nearest tenth. nswer:
2 I:.3 Sectors and rcs Quiz nswer Section MULTIPLE HOIE. NS: = πr 2 Ê m ˆ = π(30) 2 Ê 20 ˆ Substitute the given values. = 300π cm 2 Simplify. orrect! The area of a sector is equal to pi times radius squared times the measure of the arc PTS: IF: verage REF: cdc792e-4683-df-9c7d-0085f0d2ea OJ: -3.2 pplication LO: MTH TOP: -3 Sector rea and rc Length KEY: circle sector area OK: OK 2
3 I: 2. NS: Ê m ˆ L = 2πr Formula for arc length Ê = 2π(2) 30 ˆ Substitute. π in 4.5 in Simplify. = 3 9 orrect! The arc length is equal to 2 times pi times the radius times the measure of the arc PTS: IF: verage REF: cdedb8a-4683-df-9c7d-0085f0d2ea OJ: -3.4 Finding rc Length LO: MTH TOP: -3 Sector rea and rc Length KEY: arc length OK: OK 2 SHORT NSWER. NS: 0.3 cm 2 Step Find the area of sector POM = πr 2 Ê m ˆ = π(6) 2 Ê 90 ˆ Substitute 6 for r and 90 for m. = 9π cm 2 Simplify. Step 2 Find the area of POM. = bh = (6)(6) 2 2 OM = 6 cm and h = 6 cm. = 8 cm 2 Simplify. Step 3 Find the area of segment POM. area of segment POM = area of sector POM area of POM area of segment POM = 9π cm 2 PTS: 2 IF: verage REF: cdca03e-4683-df-9c7d-0085f0d2ea OJ: -3.3 Finding the rea of a Segment LO: MTH MTH TOP: -3 Sector rea and rc Length KEY: circle segment area OK: OK 2 2
4 Name: lass: ate: I:.3 Sectors and rcs Quiz Multiple hoice Identify the choice that best completes the statement or answers the question.. ( point) Find the arc length of an arc with measure 30 in a circle with radius 2 in. Round to the nearest tenth. a. 2.3 in b. 0.2 in c. 4.5 in d. 0.5 in 2. ( point) Jenny s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle of 20. What is the area of Jenny s slice of cake? Give your answer in terms of π. a. 300π cm 2 b. 50π cm 2 c. 0π cm 2 d. 3600π cm 2 ONUS. (2 points) Find the area of segment POM. Round to the nearest tenth. nswer:
5 I:.3 Sectors and rcs Quiz nswer Section MULTIPLE HOIE. NS: Ê m ˆ L = 2πr Formula for arc length Ê = 2π(2) 30 ˆ Substitute. π in 4.5 in Simplify. = 3 9 The arc length is equal to 2 times pi times the radius times the measure of the arc orrect! PTS: IF: verage REF: cdedb8a-4683-df-9c7d-0085f0d2ea OJ: -3.4 Finding rc Length LO: MTH TOP: -3 Sector rea and rc Length KEY: arc length OK: OK 2
6 I: 2. NS: = πr 2 Ê m ˆ = π(30) 2 Ê 20 ˆ Substitute the given values. = 300π cm 2 Simplify. orrect! The area of a sector is equal to pi times radius squared times the measure of the arc PTS: IF: verage REF: cdc792e-4683-df-9c7d-0085f0d2ea OJ: -3.2 pplication LO: MTH TOP: -3 Sector rea and rc Length KEY: circle sector area OK: OK 2 2
7 I: SHORT NSWER. NS: 0.3 cm 2 Step Find the area of sector POM = πr 2 Ê m ˆ = π(6) 2 Ê 90 ˆ Substitute 6 for r and 90 for m. = 9π cm 2 Simplify. Step 2 Find the area of POM. = 2 bh = 2 (6)(6) = 8 cm 2 OM = 6 cm and h = 6 cm. Simplify. Step 3 Find the area of segment POM. area of segment POM = area of sector POM area of POM area of segment POM = 9π cm 2 PTS: 2 IF: verage REF: cdca03e-4683-df-9c7d-0085f0d2ea OJ: -3.3 Finding the rea of a Segment LO: MTH MTH TOP: -3 Sector rea and rc Length KEY: circle segment area OK: OK 2 3
8 Name: lass: ate: I:.3 Sectors and rcs Quiz Multiple hoice Identify the choice that best completes the statement or answers the question.. ( point) Find the arc length of an arc with measure 30 in a circle with radius 2 in. Round to the nearest tenth. a. 4.5 in b. 2.3 in c. 0.2 in d. 0.5 in 2. ( point) Jenny s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle of 20. What is the area of Jenny s slice of cake? Give your answer in terms of π. a. 0π cm 2 b. 50π cm 2 c. 300π cm 2 d. 3600π cm 2 ONUS. (2 points) Find the area of segment POM. Round to the nearest tenth. nswer:
9 I:.3 Sectors and rcs Quiz nswer Section MULTIPLE HOIE. NS: Ê m ˆ L = 2πr Formula for arc length Ê = 2π(2) 30 ˆ Substitute. π in 4.5 in Simplify. = 3 9 orrect! The arc length is equal to 2 times pi times the radius times the measure of the arc PTS: IF: verage REF: cdedb8a-4683-df-9c7d-0085f0d2ea OJ: -3.4 Finding rc Length LO: MTH TOP: -3 Sector rea and rc Length KEY: arc length OK: OK 2
10 I: 2. NS: = πr 2 Ê m ˆ = π(30) 2 Ê 20 ˆ Substitute the given values. = 300π cm 2 Simplify. orrect! The area of a sector is equal to pi times radius squared times the measure of the arc PTS: IF: verage REF: cdc792e-4683-df-9c7d-0085f0d2ea OJ: -3.2 pplication LO: MTH TOP: -3 Sector rea and rc Length KEY: circle sector area OK: OK 2 2
11 I: SHORT NSWER. NS: 0.3 cm 2 Step Find the area of sector POM = πr 2 Ê m ˆ = π(6) 2 Ê 90 ˆ Substitute 6 for r and 90 for m. = 9π cm 2 Simplify. Step 2 Find the area of POM. = 2 bh = 2 (6)(6) = 8 cm 2 OM = 6 cm and h = 6 cm. Simplify. Step 3 Find the area of segment POM. area of segment POM = area of sector POM area of POM area of segment POM = 9π cm 2 PTS: 2 IF: verage REF: cdca03e-4683-df-9c7d-0085f0d2ea OJ: -3.3 Finding the rea of a Segment LO: MTH MTH TOP: -3 Sector rea and rc Length KEY: circle segment area OK: OK 2 3
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