Topics
10. Circles
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Geometry

10.02 Arc length and sector area

Lesson
Practice

Interactive practice questions

If the circumference of the circle is equal to $144$144 cm, find the length of the solid arc.

A circle is depicted with its arc and two radii 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 of the sector, formed a central angle labeled as 160 degrees.
Easy
1min

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.

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 radius $6$6 units, formed from an angle of size $290^\circ$290°.

Find the exact length of the arc.

Easy
3min
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Outcomes

G.CO.A.1

Define angle, circle, perpendicular line, parallel line, line segment and ray based on the undefined notions of point, line, distance along a line and distance around a circular arc.

G.C.B.4

Derive the formula for the length of an arc of a circle.

G.C.B.5

Derive the formula for the area of a sector of a circle.

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