May/June 2026 Paper 13

2026 · 11 questions · 23 parts · 75 marks

0/75 marks

0Correct0Partial0Wrong23Unattempted

Filters0 active

Questions

Select a part to jump to its question

–/5 mks

–/4 mks

–/7 mks

–/7 mks

–/8 mks

–/7 mks

–/6 mks

–/5 mks

–/7 mks

–/7 mks

–/12 mks

Context for question 7

Figure showing the design for a garden: points B and C at the top are joined by a straight edge of length r m, and A is the bottom vertex of an equilateral triangle ABC of side r m; the other two sides of the triangle are replaced by circular arcs bulging outward -- arc AC (centre B, radius r m) on the right and arc AB (centre C, radius r m) on the left -- so the garden is bounded above by the straight edge BC and below by the two arcs meeting at the point A.

The diagram shows the design for a garden. The points

A

B

and

C

form the vertices of an equilateral triangle of side length

r

metres. The arcs

A C

and

A B

are parts of circles with centres

B

and

C

respectively and are both of radius

r

metres.

7(a)Radians Circular MeasureMedium2 marks

Find an expression for the perimeter of the garden. Give your answer in terms of

π

and

r

Answer

7(b)Radians Circular MeasureHard4 marks

Given that

r = 18

, find the exact area of the garden. Give your answer in terms of

π

and

3

Working

0 words