Pure 1 course · All short practice · Notes & examples
Maths4U Original · 9709 Pure 1
Check a short answer, use a hint, then study the reasoning. These checks assess the final answer; use the exam-style problems to practise written explanations.
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Recall · M4U-P1-QP-CROSS-TOPIC-REVISION-TRIG-SECTORS-01
Maths4U Original · Short practice
A sector has radius 6 cm and angle \(\pi/3\). Its arc length is \(k\pi\) cm. Find \(k\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Method · M4U-P1-QP-CROSS-TOPIC-REVISION-TRIG-SECTORS-02
Maths4U Original · Short practice
For radius 6 cm and angle \(\pi/3\), the minor segment area is \(6\pi-k\sqrt3\) square cm. Find \(k\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Apply · M4U-P1-QP-CROSS-TOPIC-REVISION-TRIG-SECTORS-03
Maths4U Original · Short practice
A sector angle is \(120^\circ\). Which radian value belongs in \(A=\tfrac12r^2\theta\)?Choose one answer.
Check understanding · M4U-P1-QP-CROSS-TOPIC-REVISION-TRIG-SECTORS-04
Maths4U Original · Short practice
A chord of a radius-8 cm circle subtends \(\pi/3\). Find its length in cm.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-TRIG-SECTORS-01
Maths4U Original · Short practice
A radius-8 cm sector has angle \(\pi/2\) radians. Its arc length is \(k\pi\) cm. Find \(k\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-TRIG-SECTORS-02
Maths4U Original · Short practice
A radius-4 cm sector has angle \(\pi/2\). Its minor segment area is \((4\pi-k)\) square cm. Find k.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-TRIG-SECTORS-03
Maths4U Original · Short practice
A radius-6 cm sector has angle \(60^\circ\). Its area is \(k\pi\) square cm. Find k.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-TRIG-SECTORS-04
Maths4U Original · Short practice
A radius-10 cm circle has a chord subtending \(\pi/3\). Find the chord length in cm.Enter one number or fraction. Round decimals to at least six decimal places when needed.