SPM 2022 Add Maths Paper 2, Question 5Circular Measure
Solved on video in English and Bahasa Melayu · Form 5, Circular Measure · 5:32 video
The question
Diagram 2 shows the plan of a rectangular garden ABCD. The side AB = y metre and the side BC = 6x metre.
A pond in the shape of a quadrant of a circle with centre D will be built in the garden. The remaining area, (90x + 27)π metre², will be planted with grass. It is given that P is the midpoint of AD and the length of AB is twice the length of the arc PQ.
Find the value of x and of y.
5:32Step 1
AD = BC = 6x. P is the midpoint of AD, so the radius of the quadrant DP = AD/2 = 3x.
14 more steps, each with the reason for it, in the full solution
Final answer
x = 6, y = 18π ≈ 56.55 m
Where students lose marks
Watch out: marks are lost when factorising 7x² − 40x − 12. Expand your brackets to check, then reject the negative root.
Watch every step of this question solved on video (5:32), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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