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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.