Math 9 · Unit 7: Shapes and measurements · Cambridge Lower Secondary Maths Stage 9
7.1 Circumference and area of a circle
38 questions · e.g. Perimeter of a semicircle of diameter 12 cm
Questions
1. Using π = 3.14, what is the circumference of a circle with diameter 6 cm?
Check2. Using π = 3.14, what is the circumference of a circle with diameter 5 cm?
Check3. Using π = 3.14, what is the circumference of a circle with diameter 9 cm?
Check4. Using π = 3.142, what is the circumference of this circle, to 2 d.p.?
Check5. Using π = 3.142, what is the perimeter of a semicircle with diameter 12 cm, to 2 d.p.?
Check6. Using π = 3.14, what is the area of a circle with radius 4 cm?
Check7. Using π = 3.14, what is the area of a circle with radius 1 cm?
Check8. Using π = 3.14, what is the area of a circle with radius 6 cm?
Check9. Using π = 3.142, what is the area of a circle with diameter 6 cm, to 2 d.p.?
Check10. Using π = 3.142, what is the area of this semicircle, to 1 d.p.?
Check11. What is the area of a circle with radius 2 cm, to 3 s.f.?
Check12. What is the area of a circle with radius 3.75 m, to 3 s.f.?
Check13. What is the area of a circle with diameter 28 cm, to 3 s.f.?
Check14. What is the area of a circle with diameter 3.2 m, to 3 s.f.?
Check15. Dipti and Gabir work out the area of a circle with diameter 2.4 cm. What mistakes did they make?
- Both rounded their answers wrongly
- Both used the diameter instead of the radius
- Dipti used πd; Gabir used the diameter as the radius
- Dipti used the diameter as the radius; Gabir used the circumference formula πd
16. What is the area of a circle with diameter 2.4 cm, to 3 s.f.?
Check17. A circle has radius 2.7 cm. What are its area and its circumference, to 1 d.p.?
- area 22.9 cm², circumference 8.5 cm
- area 22.9 cm², circumference 17.0 cm
- area 17.0 cm², circumference 22.9 cm
- area 91.6 cm², circumference 17.0 cm
18. A circle has diameter 45 mm. What are its area and its circumference, to 1 d.p.?
- area 6361.7 mm², circumference 141.4 mm
- area 1590.4 mm², circumference 141.4 mm
- area 1590.4 mm², circumference 70.7 mm
- area 141.4 mm², circumference 1590.4 mm
19. A semicircle has radius 8.5 cm. What are its area and its perimeter, to 1 d.p.?
- area 113.5 cm², perimeter 43.7 cm
- area 227.0 cm², perimeter 43.7 cm
- area 113.5 cm², perimeter 53.4 cm
- area 113.5 cm², perimeter 26.7 cm
20. A semicircle has radius 24 mm. What are its area and its perimeter, to 1 d.p.?
- area 904.8 mm², perimeter 75.4 mm
- area 904.8 mm², perimeter 198.8 mm
- area 904.8 mm², perimeter 123.4 mm
- area 1809.6 mm², perimeter 123.4 mm