The circumference of a circle of radius r is 2πr and its area is πr², so this Year 10 sheet opens with the circle's two defining formulas. The key adds the trapezium area (a + b)h/2 and a 44 cm circle answer.
Key Takeaways
The circumference of a circle of radius r is 2πr (Q1).
The area of a circle of radius r is πr² (Q2).
Q3 records (a + b)h/2 as the trapezium area.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The circumference of a circle of radius r is
(a) πr(b) 2πr(c) πr²(d) πr/2
2.The area of a circle of radius r is
(a) πr(b) 2πr(c) πr²(d) 2πr²
3.The area of a trapezium with parallel sides a and b and height h is
(a) (a + b)h/2(b) abh(c) (a - b)h(d) (a + b)h
4.The circumference of a circle of diameter 14 cm (take π = 22/7) is
(a) 22 cm(b) 44 cm(c) 88 cm(d) 14 cm
5.The area of a semicircle of radius r is
(a) πr²(b) πr²/2(c) 2πr²(d) πr
6.The area of a sector of angle θ in a circle of radius r is
(a) (θ/360)πr²(b) (θ/180)πr²(c) θπr(d) (θ/360)2πr
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Write the formula for the circumference of a circle of radius r.
8.Write the formula for the area of a circle of radius r.
9.Write the formula for the area of a trapezium.
10.Find the area of a circle of radius 7 cm (take π = 22/7).
11.Find the circumference of a circle of radius 5 cm (take π = 3.14).
12.Write the formula for the area of a sector of angle θ in a circle of radius r.
13.Find the area of a semicircle of radius 7 cm (take π = 22/7).
14.Write the formula for the area of a parallelogram.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A circular pond has a radius of 7 m. Find the distance around it (take π = 22/7).
16.Find the area of a circle of diameter 14 cm (take π = 22/7).
17.A pizza has a diameter of 24 cm. Find its area (take π = 3.14).
18.The area of a circle is 154 cm². Find its radius (take π = 22/7).
19.Find the area of a sector of a circle of radius 10 cm and angle 36° (take π = 22/7).
20.A wheel of radius 35 cm makes 20 complete turns. Find the total distance it covers (take π = 22/7).
Answer Key
1. b) 2πr
2. c) πr²
3. a) (a + b)h/2
4. b) 44 cm
5. b) πr²/2
6. a) (θ/360)πr²
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the circumference of a circle of radius r?
2πr, option (b) in this worksheet (Q1).
What is the area of a circle of radius r?
πr², option (c) in this worksheet (Q2).
What is the area of a trapezium?
(a + b)h/2, option (a) in this worksheet (Q3).
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