SPM 2019 Add Maths Paper 2, Question 3Circular Measure

Solved on video in English and Bahasa Melayu · 6 marks · Form 5, Circular Measure · 6:23 video

The question

Diagram 1 shows a sector POA with centre O. It is given that the length of arc PB is 2.56 cm. [Use pi = 3.142] Calculate (a) angle POB in radians, (b) the area, in cm², of the shaded region.

[6 marks]

SPM 2019 Add Maths Paper 2, Question 3: the question as drawn in Eduly's video6:23

Step 1

Arc length s = rtheta: 2.56 = 10theta, so theta = angle POB = 2.56/10 = 0.256 rad.

7 more steps, each with the reason for it, in the full solution

Final answer

(a) 0.256 rad, (b) 47.04 cm²

Where students lose marks

Watch out: convert 60° to radians before using (1/2)r²θ, and match 0.256 rad to sector OPB and 60° to sector OAB.

Watch every step of this question solved on video (6:23), with the reason behind each step and a box that checks your own answer.

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