Recall · M4U-P1-QP-CIRCULAR-MEASURE-SEGMENTS-01
segment versus sector
Maths4U Original · Short practice
For radius \(r\) and minor angle \(0<\theta<\pi\) in radians, which is the minor segment area?Choose one answer.
Pure 1 course · All short practice · Notes & examples
Maths4U Original · 9709 Pure 1
Chords, minor segments and major segments
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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Method · M4U-P1-QP-CIRCULAR-MEASURE-SEGMENTS-02
exact segment
Maths4U Original · Short practice
A radius-4 cm circle has a minor sector angle \(\pi/2\). The 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.
Apply · M4U-P1-QP-CIRCULAR-MEASURE-SEGMENTS-03
chord geometry
Maths4U Original · Short practice
A chord subtends \(\pi/3\) at the centre of a radius-9 cm circle. Find the chord length in cm.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Check understanding · M4U-P1-QP-CIRCULAR-MEASURE-SEGMENTS-04
major segment complement
Maths4U Original · Short practice
The minor segment has area \(S\) in a circle of radius \(r\). What is the major segment area?Choose one answer.
Fresh review variant · M4U-P1-QP-VAR-CIRCULAR-MEASURE-SEGMENTS-01
segment versus sector
Maths4U Original · Short practice
A minor sector has area 23 square cm. The triangle formed by its two radii and chord has area 9 square cm. Find the minor segment area in square cm.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CIRCULAR-MEASURE-SEGMENTS-02
exact segment
Maths4U Original · Short practice
A radius-6 cm sector has angle \(\pi/2\). Its minor segment area is \((9\pi-k)\) 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-CIRCULAR-MEASURE-SEGMENTS-03
chord geometry
Maths4U Original · Short practice
A radius-11 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.
Fresh review variant · M4U-P1-QP-VAR-CIRCULAR-MEASURE-SEGMENTS-04
major segment complement
Maths4U Original · Short practice
In a radius-12 cm circle, the minor segment area is \(9\pi\) square cm. The major segment area is \(k\pi\) square cm. Find k.Enter one number or fraction. Round decimals to at least six decimal places when needed.