Finding the area and circumference of a circle worksheet answers

Practice the questions given in the worksheet on circumference and area of circle. Students can recall the topic and practice the questions to get more ideas on how to find the circumference of the circle and the area of the circle.

1. Find the circumference of the circle whose radius is ………

  (a) 12 cm 

  (b) 7.2 cm

  (c) 15 mm (Take π = 22/7) 

2. Find the area of the circle whose diameter is ………..

  (a) 28 cm

  (b) 10 cm 

  (c) 6.8 mm (Take π = 22/7) 

3. If the circumference of a circular sheet is 176 m, find its area. 

4. The area of a circle is 616 cm². Find its circumference.

5. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. 

6. Find the perimeter of the adjoining figure which is a semicircle including the diameter.

7. The diameter of a wheel is 70 cm. How many times the wheel will revolve in order to cover a distance of 110 m?

8. The ratio of the radii of two wheels is 4 : 5. Find the ratio of their circumference.

9. A well of diameter 150 cm has a stone parapet around it. If the length of the outer edge of the parapet is 616 cm, find the width of the parapet.

10. A thin wire is in the form of an equilateral triangle of side 11 cm. Find the area of a circle whose circumference is equal to the length of the wire.

11. Find the area of a circle whose circumference is same as the perimeter of square of side 22 cm.

12. From a rectangular metal sheet of size 20 cm by 30 cm, a circular sheet as big as possible is cut. Find the area of the remaining sheet.

13. Two circles have areas in the ratio 36 : 49. Find the ratio of their circumference.

14. Find the circumference of a wheel whose radius is 35 cm. Find the distance covered in 60 seconds, if it revolves 5 times per second.

15. The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m. 

16. A 3 m wide road runs around a circular park whose circumference is 132 m. Find the cost of fencing the outer boundary of the road at the rate of $10 per m. 

17. A circular flowerbed is surrounded by a path 2.5 m wide. The diameter of the flower-bed is 40 m. Find the area of the path. 

18. A square metallic frame has a perimeter 208 cm. It is bent in the shape of a circle. Find the area of the circle. 

19. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. 

20. Find the area of a circle inscribed in a square of side 20 cm. 

Answers for worksheet on circumference and area of circle are given below to check the exact answers of the above questions.

Answers:

1. (a) 75³/₇ cm 

(b) 45.25 cm

(c) 94²/₇ cm

2. (a) 616 cm²

(b) 78⁴/₇ cm²

(c) 36.33 mm²

3. 2464 m² 

4. 88 cm 

5. 50²/₇ cm²

6. 51.42

7. 50

8. 4 : 5

9. 23 cm

10. 86⁵/₈ cm²

11. 616 cm²

12. 285.71 cm²

13. 6 : 7

14. 660 m

15. 700

16. $1508.57

17. 333.92 m²

18. 3441⁵/₁₁ cm²

19. 887 cm²

20. 314.2 cm².

● Mensuration - Worksheets

Worksheet on Area and Perimeter of Rectangles

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Worksheet on Circumference and Area of Circle

Worksheet on Area and Perimeter of Triangle

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Help the child unleash their best yet with our free area and circumference of a circle worksheets. Progressing through tasks like finding the area and circumference, finding the area from the circumference, and finding the circumference from the area, children run a complete course in the quest to fulfill their practice aspirations. Every resource presents a new challenge so each time the learning feels riveting. Our pdf circumference and area of circles worksheets are available in both customary and metric units.

We recommend these printable tools for grade 6, grade 7, and grade 8 students.

CCSS: 7.G

Select the Measurement Units U.S. Customary Units Metric Units

Finding Area and Circumference | Worksheet #1

Remind students that the formula for the circumference of a circle is 2πr and the formula for the area of a circle is πr². If they have the diameter given, they should use its half in the formulas to determine both the measures.

Finding Area and Circumference | Worksheet #2

Give 6th grade and 7th grade students a strenuous brain workout with this free circumference and area of circles worksheet! Be sure they round the answer to the nearest tenth so in the long run, working out the two measures will be a no-brainer!

Finding Area from Circumference | Worksheet #1

Whet your learners' appetite for more learning-and-practice enthusiasm using this printable worksheet! Watch them get everything right by dividing the circumference by 2π to obtain the value of r and by using it to find the area of the figure.

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Finding Circumference from Area | Worksheet #1

If the area of a circle = 12.56 sq. units, what is the circumference? Since the area = πr², 12.56 = 3.14 * r². Divide the area by 3.14 to get r², and take the square root of r. Plug the obtained value in the appropriate formula to find the circumference.

Finding Circumference from Area | Worksheet #2

Task grade 7 and grade 8 students with finding the circumference given the area. This pdf area and circumference worksheet contains circles with an area of four or five digits, so the mighty math wizards are up against an exciting challenge!

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