Buzz
To excel in math and retain knowledge of formulas, practicing exercises in textbooks and exercise books is essential. Additionally, students should compare their methods to ensure correctness. Here is a compilation of exercises on calculating the circumference of a circle for 5th graders for practice and review.
Math exercises on calculating the circumference and area for 5th graders.
- Note:
- Review and learn the formula for calculating the circumference of a circle before applying it to solve exercises.
- Read the problem carefully; if there are inconsistent units, convert them to the same unit before proceeding.
Exercise on calculating the circumference of a circle in Grade 5 textbooks
Exercise 1 (Page 98 of Grade 5 Math textbook): Calculate the circumference of a circle with diameter d:
a) d = 0.6 cm;
b) d = 2.5 dm;
c) d = 4/5 m.
Solution:
a) The circumference of the circle is: 0.6 x 3.14 = 1.884 cm
b) The circumference of the circle is 2.5 x 3.14 = 7.85 dm
c) The circumference of the circle is 4/5 x 3.14 = 2.512 m
Exercise 2 (Page 98 of Grade 5 Math textbook): Calculate the circumference of a circle with radius r:
a) r = 2.75 cm
b) r = 6.5 dm
c) r = 1/2 m
Solution:
a) The circumference of the circle is 2.75 x 2 x 3.14 = 17.27 cm
b) The circumference of the circle is 6.5 x 2 x 3.14 = 40.82 dm
c) The circumference of the circle is 1/2 x 2 x 3.14 = 3.14 m
Exercise 3 (Page 98 of Grade 5 Math textbook): A car wheel has a diameter of 0.75 m. Calculate the circumference of the wheel.
Solution:
The circumference of the wheel is: 0.75 x 3.14 = 2.355m
Answer: 2.355m
- Note:
- For detailed information, refer to Grade 5 Math Problem Solving, Page 98 of Textbook, circumference of a circle.
Exercise on calculating the circumference of a circle in Grade 5 exercise book
Exercise 1 Page 11 VBT Math 5 Workbook 2: Fill in the blanks with appropriate measurements:
Solution:
Circumference of circle (1): C = d x 3.14 = 1.2 x 3.14 = 3.768 cm
Circumference of circle (2): C = 1.6 x 3.14 = 5.024 dm
Circumference of circle (3): C = 0.45 x 3.14 = 1.413 m
Exercise 2 Page 11 VBT Math 5 Workbook 2: Fill in the blanks with appropriate measurements:
Solution:
Circumference (1): C = d x 3.14 = r x 2 x 3.14 = 5 x 2 x 3.14 = 31.4 m
Circumference (2): C = 2.7 x 2 x 3.14 = 16.956 dm
Circumference (3): C = 0.45 x 2 x 3.14 = 2.826 cm
Exercise 3 Page 11 VBT Math 5 Workbook 2: The small wheel of a locomotive has a diameter of 1.2 m. Calculate the circumference of that wheel.
Summary
Solution:
The circumference of the wheel is 1.2 x 3.14 = 3.768m
Answer: 3.768m
Advanced exercise on calculating the circumference of circles for Grade 5
Exercise 1: Calculate the circumference of a circle with diameter d:
a) d = 0.8 m
b) d = 35 cm
c) d = 8/5 dm
Solution:
a) The circumference of the circle is 0.8 x 3.14 = 2.512 m
b) The circumference of the circle is 35 x 3.14 = 109.9 cm
c) The circumference of the circle is 8/5 x 3.14 = 5.024 dm
Exercise 2:
a) Calculate the diameter of a circle with a circumference of 18.84 cm.
b) Calculate the radius of a circle with a circumference of 25.12 cm.
Solution:
a) The diameter of the circle is 18.84 : 3.14 = 6 cm
b) The radius of the circle is 25.12 : 3.14 : 2 = 4 cm
Exercise 3: The small wheel of a tractor has a radius of 0.5 m. The large wheel of that tractor has a radius of 1 m. If the small wheel rolls 10 rounds, how many rounds does the large wheel roll?
Solution:
The circumference of the small wheel is 2 x 0.5 x 3.14 = 3.14 m
The circumference of the large wheel is 2 x 1 x 3.14 = 6.28 m
The small wheel rolling 10 rounds covers a distance of 3.14 x 10 = 31.4 m
31.4 m is also the distance covered by the large wheel, so the number of rounds the large wheel rolls is 31.4 : 6.28 = 5 rounds.
Below are exercises on circumference of circles for 5th grade, including problems with answers from textbooks, exercise books, and advanced exercises. Hope this material will be helpful for you to excel in Math.
