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10.02 Arc length and sector area

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

GEO-G.CO.1

Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc as these exist within a plane.

GEO-G.C.5

Using proportionality, find one of the following given two others; the central angle, arc length, radius or area of sector.

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