Exercises for Question Type 2: Calculating the arc length given some parameters - IB | RevisionDojo

Question Type 2: Calculating the arc length given some parameters Exercises

Question 1

Calculate the area of a sector with radius $5$ and central angle $60^\circ$ .

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Question 2

Find the radius of a circle if a sector with angle $120^\circ$ has area $150\pi$ .

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Question 3

Find the arc length of a sector with radius $3$ and angle $120^\circ$ .

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Question 4

Calculate the arc length of a sector with radius $4$ and central angle $35^\circ$ .

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Question 5

Find the arc length of a sector with radius $10$ and central angle $60^\circ$ .

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Question 6

Calculate the arc length of a sector with radius $7 \text{ cm}$ and angle $150^\circ$ .

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Question 7

A sector has area $50\pi$ and central angle $90^\circ$ . Find the radius of the circle.

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Question 8

Find the area of a sector with radius $9$ and central angle $120^\circ$ .

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Question 9

Calculate the area of a sector with radius $4$ and central angle $210^\circ$ .

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Question 10

A circle has radius $5$ . Find the length of the arc cut off by a $45^\circ$ angle.

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Question 11

A sector of a circle has a central angle of $60^\circ$ and an area of $72\pi$ . Find the radius of the sector.

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Question 12

Determine the arc length for a circle of radius $12$ with central angle $210^\circ$ .

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