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12.01 Arc length and sector area

Adaptive
Worksheet

Interactive practice questions

If the radius of a circle is equal to $1.8$1.8 cm, find its circumference correct to three decimal places.

Easy
< 1min

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

Easy
1min

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 $14.2$14.2 mm, formed from an angle of size $235^\circ$235°.

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

Easy
2min
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Outcomes

G.PC.3

The student will solve problems, including those in context, by applying properties of circles.

G.PC.3a

Determine the proportional relationship between the arc length or area of a sector and other parts of a circle.

G.PC.3d

Calculate the length of an arc of a circle.

G.PC.3e

Calculate the area of a sector of a circle.

G.PC.3f

Apply arc length or sector area to solve for an unknown measurement of the circle including the radius, diameter, arc measure, central angle, arc length, or sector area.

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