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Practice — Circular measure • Arc Length and Sector Area

Arc length, sector perimeter and rolling distance: check 1
Difficulty: ★★☆
2285
Info
M4U-P1-QP-CIRCULAR-MEASURE-ARC-LENGTH-01

Maths4U Original · Short practice

Find the arc length in cm for radius 8 cm and angle 1.25 radians.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: check 2
Difficulty: ★★☆
2286
Info
M4U-P1-QP-CIRCULAR-MEASURE-ARC-LENGTH-02

Maths4U Original · Short practice

A sector has arc length 12 cm and radius 5 cm. Find its perimeter in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: check 3
Difficulty: ★★☆
2287
Info
M4U-P1-QP-CIRCULAR-MEASURE-ARC-LENGTH-03

Maths4U Original · Short practice

A circle has radius 7 cm. Its minor arc subtends 2 radians. The major arc has length \((14\pi-k)\) cm. Find \(k\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: check 4
Difficulty: ★★☆
2288
Info
M4U-P1-QP-CIRCULAR-MEASURE-ARC-LENGTH-04

Maths4U Original · Short practice

For a fixed radius, doubling the angle of a sector does what to its arc length?

Choose one answer.

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Sector area and a fixed-perimeter constraint: check 1
Difficulty: ★★☆
2289
Info
M4U-P1-QP-CIRCULAR-MEASURE-SECTOR-AREA-01

Maths4U Original · Short practice

Find the sector area in square cm for \(r=6\) cm, \(\theta=1.5\) radians.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: check 2
Difficulty: ★★☆
2290
Info
M4U-P1-QP-CIRCULAR-MEASURE-SECTOR-AREA-02

Maths4U Original · Short practice

A sector of radius 4 cm has area 12 square cm. Find its angle in radians.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: check 3
Difficulty: ★★☆
2291
Info
M4U-P1-QP-CIRCULAR-MEASURE-SECTOR-AREA-03

Maths4U Original · Short practice

A sector has area 30 square cm and arc length 10 cm. Find its radius in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: check 4
Difficulty: ★★☆
2292
Info
M4U-P1-QP-CIRCULAR-MEASURE-SECTOR-AREA-04

Maths4U Original · Short practice

At a fixed angle, tripling the radius multiplies the sector area by what factor?

Choose one answer.

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Arc length, sector perimeter and rolling distance: review variant 1
Difficulty: ★★☆
2496
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-ARC-LENGTH-01

Maths4U Original · Short practice

A sector has radius 10 cm and angle 1.5 radians. Find its arc length in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: review variant 2
Difficulty: ★★☆
2497
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-ARC-LENGTH-02

Maths4U Original · Short practice

A sector has arc length 17 cm and radius 7 cm. Find its perimeter in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: review variant 3
Difficulty: ★★☆
2498
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-ARC-LENGTH-03

Maths4U Original · Short practice

A radius-8 cm circle has a minor arc angle 1.5 radians. Its major arc length is \((16\pi-k)\) cm. Find k.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Arc length, sector perimeter and rolling distance: review variant 4
Difficulty: ★★☆
2499
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-ARC-LENGTH-04

Maths4U Original · Short practice

A sector has angle \(0.4\) radians and arc length 7 cm. Its radius stays fixed and its angle is tripled. Find the new arc length in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: review variant 1
Difficulty: ★★☆
2500
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-SECTOR-AREA-01

Maths4U Original · Short practice

A sector has radius 5 cm and angle 1.6 radians. Find its area in square cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: review variant 2
Difficulty: ★★☆
2501
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-SECTOR-AREA-02

Maths4U Original · Short practice

A radius-5 cm sector has area 10 square cm. Find its angle in radians.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: review variant 3
Difficulty: ★★☆
2502
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-SECTOR-AREA-03

Maths4U Original · Short practice

A sector has area 28 square cm and arc length 7 cm. Find the radius in cm.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Sector area and a fixed-perimeter constraint: review variant 4
Difficulty: ★★☆
2503
Info
M4U-P1-QP-VAR-CIRCULAR-MEASURE-SECTOR-AREA-04

Maths4U Original · Short practice

At a fixed angle, the radius is multiplied by 4. By what factor is the sector area multiplied?

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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