Circles
P6 Mathematics · Circumference and area of a circle, semicircle and quadrant, and composite figures combining circles with rectangles/squares (P6 Math Topic 5). · 300 questions · difficulty D1–D4 · Singapore syllabus-aligned
Sample questions
SAMPLE 1
In a park, there are two identical circular running tracks with centers at P and Q. PQRS is a square with a perimeter of 56 m. Sarah started running from P. She ran around each circular track once. Find the total distance Sarah ran. (Take π = 22/7)
- A 28 m
- B 88 m
- C 176 m
- D 616 m
SAMPLE 2
A large circle has a diameter of 28 cm. Inside it is a smaller circle. The radius of the small circle is half the radius of the large circle. What is the area of the small circle? (Take π = 22/7)
- A 22 cm²
- B 44 cm²
- C 154 cm²
- D 616 cm²
SAMPLE 3
A shop sells square tiles, each with a side length of 20 cm. Tile B has a shaded design made up of four quarter-circles drawn inside the square, each with its centre at a corner of the square and its radius equal to half the side length of the tile. Using π = 3.14, calculate the perimeter of the shaded part of Tile B.
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