Melaka Trial 2025 Add Maths Paper 2, Question 7Circular Measure

Solved on video in English · Form 5, Circular Measure · 5:08 video

The question

(a)

Diagram 4 shows a circle with centre O and a radius of 7 cm. It is given that the perimeter of the triangle AOB is 21 cm. [Use π = 3.142]

Calculate (a) ∠AOB in radians.

(b)

Diagram 4 shows a circle with centre O and radius 7 cm; the perimeter of triangle AOB is 21 cm and ∠AOB = 1.047 rad. [Use π = 3.142]

(b) Calculate the perimeter of the minor segment AB.

(c)

Diagram 4 shows a circle with centre O and radius 7 cm; the perimeter of triangle AOB is 21 cm and ∠AOB = 1.047 rad. The region of the circle outside triangle AOB is shaded. [Use π = 3.142]

(c) Calculate the area of the shaded region.

Melaka Trial 2025 Add Maths Paper 2, Question 7: the question as drawn in Eduly's video5:08

Part (a)

Step 1

OA and OB are radii, so OA = OB = 7 cm.

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

Final answer

∠AOB = 1.047 rad

Where students lose marks

Watch out: subtract both radii from 21 to get AB = 7, and answer in radians (× π/180), not degrees.

Part (b)

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

Final answer

14.33 cm

Where students lose marks

Watch out: the perimeter of a segment is the arc plus the chord AB, so do not stop at the arc length.

Part (c)

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

Final answer

132.74 cm²

Where students lose marks

Watch out: subtract the whole triangle AOB from the circle, not just a sector or segment, and use ½(7)(7) sin 60° for the triangle.

Watch every step of this question solved on video (5:08), with the reason behind each step and a box that checks your own answer.

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