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0606 · Notes & worked examples

Circular measure: review · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Radians, arcs and sectors — objective 1

Maths4U Original · Short practice

A sector has radius \(\displaystyle r=3 \mathrm{cm}\) and angle \(\displaystyle \frac{\pi}{2}\) radians.

Find the arc length divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Radians, arcs and sectors — objective 1

Maths4U Original · Short practice

A sector has radius \(\displaystyle r=4 \mathrm{cm}\) and angle \(\displaystyle \frac{\pi}{3}\) radians.

Find the arc length divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Radians, arcs and sectors — objective 2

Maths4U Original · Short practice

A sector has radius \(\displaystyle r=4 \mathrm{cm}\) and angle \(\displaystyle \frac{\pi}{3}\) radians.

Find the sector area divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Radians, arcs and sectors — objective 2

Maths4U Original · Short practice

A sector has radius \(\displaystyle r=5 \mathrm{cm}\) and angle \(\displaystyle \frac{\pi}{4}\) radians.

Find the sector area divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Segments and composite circular regions — objective 3

Maths4U Original · Short practice

A circle has radius 24 cm. Two radii enclose an angle of \(\displaystyle \frac{\pi }{2}\) radians; consider the minor segment between their chord and arc.

Find the squared chord length.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Segments and composite circular regions — objective 3

Maths4U Original · Short practice

A circle has radius 25 cm. Two radii enclose an angle of \(\displaystyle \frac{\pi }{2}\) radians; consider the minor segment between their chord and arc.

Find the squared chord length.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Segments and composite circular regions — objective 4

Maths4U Original · Short practice

A circle has radius 25 cm. Two radii enclose an angle of \(\displaystyle \frac{\pi }{2}\) radians; consider the minor segment between their chord and arc.

Find the arc length divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Segments and composite circular regions — objective 4

Maths4U Original · Short practice

A circle has radius 26 cm. Two radii enclose an angle of \(\displaystyle \frac{\pi }{2}\) radians; consider the minor segment between their chord and arc.

Find the arc length divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Try written exam-style problems →