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7.04 Arcs and sectors

Interactive practice questions

The diagram shows a sector of a circle of radius $5$5 units, formed from an angle of size $2.3$2.3 radians.

Find the exact length of the arc.

Easy
1min

A sector of a circle of radius $27$27 cm is formed from an angle of size $\frac{2}{9}$29 radians.

Find the exact length of the arc.

Easy
< 1min

Given the following sector of a circle with radius $10$10 cm, where $\theta$θ is equal to $\frac{5\pi}{6}$5π6 radians, find the exact value of the perimeter of the sector in centimetres.

Easy
1min

A sector of a circle of radius $4$4 cm is formed from an angle of size $\frac{5\pi}{6}$5π6 radians.

Find the length of the arc, rounded to two decimal places.

Easy
1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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