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5.02 Sectors

Interactive practice questions

The diagram shows a sector of a circle of radius $4$4 units, formed from an angle of size $180^\circ$180°.

Find the exact length of the arc. Do not round your answer.

A circle is depicted with its arc outlined with a solid green line, thus forming a sector, while the rest of the circle is represented with a dashed green line. The two radii drawn that formed the sector formed a horizontal line. The sector formed is a semi circle.

Easy
2min

The diagram shows a sector of a circle of radius $4$4 units, formed from an angle of size $135^\circ$135°.

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

Easy
2min

The diagram shows a sector of a circle of diameter $14$14 units, formed from an angle of size $15^\circ$15°.

Find the exact length of the arc.

Easy
1min

The diagram shows a sector of a circle of radius $6.5$6.5 m, formed from an angle of size $55^\circ$55°.

Find the exact length of the arc.

Easy
2min
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Outcomes

ACMGM018

solve practical problems requiring the calculation of perimeters and areas of circles, sectors of circles, triangles, rectangles, parallelograms and composites

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