United States of AmericaPA
High School Core Standards - Geometry Assessment Anchors

# 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.

Easy
Approx 2 minutes

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.

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.

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.

### Outcomes

#### CC.2.3.HS.A.9

Extend the concept of similarity to determine arc lengths and areas of sectors of circles.

#### G.1.1.1.2

Identify, determine, and/or use the arcs, semicircles, sectors, and/or angles of a circle.

#### G.2.2.2.5

Find the area of a sector of a circle.