1. 1
   A landscape designer is calculating measurements for a circular pond of radius 5 m and a circular flower bed.

   (a)

   A circular pond has radius 5 m. Find its circumference, using $C = 2\pi r$ and $\pi = 3.142$.

   [1 mark]

   • A$31.42$ m
   • B$15.71$ m
   • C$78.55$ m
   • D$10$ m

   (b)

   Find the area of the same circular pond, using $A = \pi r^2$ and $\pi = 3.142$.

   [1 mark]

   • A$15.71$ m$^2$
   • B$31.42$ m$^2$
   • C$78.55$ m$^2$
   • D$25$ m$^2$

   (c)

   A circular flower bed has a diameter of 8 m. What is its radius?

   [1 mark]

   • A$2$ m
   • B$8$ m
   • C$16$ m
   • D$4$ m

   Total for question 1: 3 marks

2. 2
   A pizza chef is cutting a circular pizza of radius 14 cm into sectors of different sizes.

   (a)

   A circular pizza has radius 14 cm and is cut so that one slice has a sector angle of $45°$, which is a factor of $360°$. Find the area of this slice, giving your answer in terms of $\pi$.

   [2 marks]

   (b)

   Find the arc length of the same $45°$ slice, giving your answer in terms of $\pi$.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   An athletics coach is measuring distances on a circular running track with inner radius 40 m, including a semicircular bend and a sector-shaped warm-up zone.

   (a)

   A circular running track has an inner radius of 40 m. A runner completes a semicircular bend on this track. Calculate the length of this semicircular bend, using $\pi = 3.142$, giving your answer to 1 decimal place.

   [3 marks]

   (b)

   A sector-shaped warm-up zone is marked out on the same track's inner circle, with a sector angle of $60°$. Calculate the perimeter of this sector (arc length plus the two straight radii), using $\pi = 3.142$, giving your answer to 1 decimal place.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A furniture designer is creating a circular table of radius 60 cm with a decorative sector-shaped placemat, and calculating the area of the remaining major sector of the table.

   (a)

   A circular table has radius 60 cm. A decorative sector-shaped placemat covers an angle of $75°$ at the centre (not a factor of $360°$). Calculate the area of the placemat, using $\pi = 3.142$, giving your answer to 1 decimal place.

   [4 marks]

   (b)

   Calculate the area of the remaining major sector of the table (the rest of the circular table not covered by the placemat), using $\pi = 3.142$, giving your answer to 1 decimal place.

   [4 marks]

   (c)

   The designer wants a second placemat with exactly one quarter of the area of the first placemat found in part (a). Calculate the sector angle needed for this smaller placemat on the same table, showing full working, and give your answer to 1 decimal place.

   [5 marks]

   Total for question 4: 13 marks

End of questions