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Area: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 5)

Area questions ask how much surface a shape covers, or what it costs to cover or fence it.

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Q1. Find the circumference of a circle with radius 35 cm. (Take pi = 22/7)

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Answer: D

Let radius = R = 35 cm, and take pi = 22/7. Circumference of a circle = 2 x pi x R. So circumference = 2 x (22/7) x 35 = 220 cm.

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Q2. Find the circumference of a circle with radius 105 cm. (Take pi = 22/7)

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Answer: C

Let radius = R = 105 cm, and take pi = 22/7. Circumference of a circle = 2 x pi x R. So circumference = 2 x (22/7) x 105 = 660 cm.

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Q3. Find the circumference of a circle with radius 7 cm. (Take pi = 22/7)

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Answer: C

Let radius = R = 7 cm, and take pi = 22/7. Circumference of a circle = 2 x pi x R. So circumference = 2 x (22/7) x 7 = 44 cm.

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Q4. Find the circumference of a circle with radius 147 cm. (Take pi = 22/7)

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Answer: B

Let radius = R = 147 cm, and take pi = 22/7. Circumference of a circle = 2 x pi x R. So circumference = 2 x (22/7) x 147 = 924 cm.

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Q5. Find the area of a circle with radius 119 cm. (Take pi = 22/7)

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Answer: D

Let radius = R = 119 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 119^2 = 14161. Area = (22/7) x 14161 = 44506 sq cm.

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Q6. Find the area of a circle with radius 77 cm. (Take pi = 22/7)

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Answer: A

Let radius = R = 77 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 77^2 = 5929. Area = (22/7) x 5929 = 18634 sq cm.

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Q7. Find the area of a circle with radius 140 cm. (Take pi = 22/7)

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Answer: B

Let radius = R = 140 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 140^2 = 19600. Area = (22/7) x 19600 = 61600 sq cm.

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Q8. Find the area of a circle with radius 91 cm. (Take pi = 22/7)

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Answer: C

Let radius = R = 91 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 91^2 = 8281. Area = (22/7) x 8281 = 26026 sq cm.

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Q9. Find the area of a circle with radius 98 cm. (Take pi = 22/7)

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Answer: A

Let radius = R = 98 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 98^2 = 9604. Area = (22/7) x 9604 = 30184 sq cm.

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Q10. Find the area of a circle with radius 35 cm. (Take pi = 22/7)

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Answer: D

Let radius = R = 35 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 35^2 = 1225. Area = (22/7) x 1225 = 3850 sq cm.

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Q11. Find the area of a circle with radius 70 cm. (Take pi = 22/7)

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Answer: A

Let radius = R = 70 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 70^2 = 4900. Area = (22/7) x 4900 = 15400 sq cm.

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Q12. Find the area of a circle with radius 28 cm. (Take pi = 22/7)

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Answer: D

Let radius = R = 28 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 28^2 = 784. Area = (22/7) x 784 = 2464 sq cm.

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Q13. Find the area of a circle with radius 21 cm. (Take pi = 22/7)

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Answer: C

Let radius = R = 21 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 21^2 = 441. Area = (22/7) x 441 = 1386 sq cm.

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Q14. Find the area of a circle with radius 63 cm. (Take pi = 22/7)

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Answer: B

Let radius = R = 63 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 63^2 = 3969. Area = (22/7) x 3969 = 12474 sq cm.

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Q15. Find the area of a circle with radius 7 cm. (Take pi = 22/7)

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Answer: B

Let radius = R = 7 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 7^2 = 49. Area = (22/7) x 49 = 154 sq cm.

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Q16. Find the area of a circle with radius 56 cm. (Take pi = 22/7)

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Answer: C

Let radius = R = 56 cm, and take pi = 22/7. Area of a circle = pi x R^2. R^2 = 56^2 = 3136. Area = (22/7) x 3136 = 9856 sq cm.

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Q17. Find the area of a trapezium whose parallel sides are 23 cm and 6 cm, and whose height is 52 cm.

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Answer: D

Let the parallel sides be a = 23 cm and b = 6 cm, and height = h = 52 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 23 + 6 = 29. Area = (1/2) x 29 x 52 = 754 sq cm.

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Q18. Find the area of a trapezium whose parallel sides are 8 cm and 27 cm, and whose height is 30 cm.

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Answer: A

Let the parallel sides be a = 8 cm and b = 27 cm, and height = h = 30 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 8 + 27 = 35. Area = (1/2) x 35 x 30 = 525 sq cm.

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Q19. Find the area of a trapezium whose parallel sides are 28 cm and 6 cm, and whose height is 52 cm.

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Answer: A

Let the parallel sides be a = 28 cm and b = 6 cm, and height = h = 52 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 28 + 6 = 34. Area = (1/2) x 34 x 52 = 884 sq cm.

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Q20. Find the area of a trapezium whose parallel sides are 26 cm and 6 cm, and whose height is 60 cm.

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Answer: B

Let the parallel sides be a = 26 cm and b = 6 cm, and height = h = 60 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 26 + 6 = 32. Area = (1/2) x 32 x 60 = 960 sq cm.

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Q21. Find the area of a trapezium whose parallel sides are 29 cm and 8 cm, and whose height is 48 cm.

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Answer: D

Let the parallel sides be a = 29 cm and b = 8 cm, and height = h = 48 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 29 + 8 = 37. Area = (1/2) x 37 x 48 = 888 sq cm.

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Q22. Find the area of a trapezium whose parallel sides are 38 cm and 26 cm, and whose height is 54 cm.

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Answer: C

Let the parallel sides be a = 38 cm and b = 26 cm, and height = h = 54 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 38 + 26 = 64. Area = (1/2) x 64 x 54 = 1728 sq cm.

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Q23. Find the area of a trapezium whose parallel sides are 10 cm and 15 cm, and whose height is 36 cm.

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Answer: B

Let the parallel sides be a = 10 cm and b = 15 cm, and height = h = 36 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 10 + 15 = 25. Area = (1/2) x 25 x 36 = 450 sq cm.

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Q24. Find the area of a trapezium whose parallel sides are 15 cm and 16 cm, and whose height is 40 cm.

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Answer: D

Let the parallel sides be a = 15 cm and b = 16 cm, and height = h = 40 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 15 + 16 = 31. Area = (1/2) x 31 x 40 = 620 sq cm.

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Q25. Find the area of a trapezium whose parallel sides are 6 cm and 10 cm, and whose height is 30 cm.

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Answer: A

Let the parallel sides be a = 6 cm and b = 10 cm, and height = h = 30 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 6 + 10 = 16. Area = (1/2) x 16 x 30 = 240 sq cm.

Related topics: Area: Formulas, Shortcuts and Solved Examples

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