Question 1
1 markA sector of a circle has a radius of \(8\) cm and a central angle of \(1.5\) radians. Find the perimeter of the sector.
Cambridge IGCSE · Mathematics - Additional (0606)
Circular measure: Practice Questions
4 multiple-choice questions marked as you go, and 2 written questions with worked solutions. All on Circular measure.
6 questions13 marksFree, no account
Question 2
1 markFind the area of a sector of a circle with radius \(6\) cm and an arc length of \(\pi\) cm.
Question 3
1 markA sector of a circle has a radius of \(r\) cm and an area of \(50\) cm\(^2\). If the perimeter of the sector is \(30\) cm, find the two possible values of \(r\).
Question 4
1 markThe area of a sector of a circle is \(20\) cm\(^2\) and the radius of the circle is \(5\) cm. Find the perimeter of the sector.
Question 5
4 marksA sector of a circle has a radius of \( 15 \) cm and an angle of \( 0.8 \) radians at the centre.
(a) Find the length of the arc of the sector.
(b) Find the perimeter of the sector.
(c) Find the area of the sector.
Write your answer out first, then check it against the worked solution.
Question 6
5 marksIn the diagram, a circle with centre \( O \) and radius \( 10 \) cm contains a chord \( AB \) of length \( 12 \) cm.
(a) Show that the angle \( AOB \) is approximately \( 1.287 \) radians.
(b) Calculate the area of the minor segment bounded by the chord \( AB \) and the arc \( AB \).
Write your answer out first, then check it against the worked solution.
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