NZ Level 7 (NZC) Level 2 (NCEA)
Length of Circular Arc & Area of a Sector (using radians)

## Interactive practice questions

The diagram shows a sector of a circle of radius $5$5 units, formed from an angle of size $2.3$2.3 radians.

Find the exact length of the arc.

Easy
Approx a minute

A sector of a circle of radius $27$27 cm is formed from an angle of size $\frac{2}{9}$29 radians.

Find the exact length of the arc.

A sector of a circle of radius $4$4 cm is formed from an angle of size $\frac{5\pi}{6}$5π6 radians.

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

A sector of a circle of diameter $19$19 units is formed from an angle of size $3.5$3.5 radians.

Find the length of the arc as a decimal.

### Outcomes

#### M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

#### 91259

Apply trigonometric relationships in solving problems