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A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?
explanation of solution?
explanation of solution?
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A string is wound around two circular disk as shown. If the radius of ...
Total Length of the String Wound Around Two Disks
To find the total length of the string wound around two circular disks, we first need to calculate the length of the string around each disk separately and then add them together.
Step 1: Understand the Problem
- We have two disks with different radii:
- Radius of Disk 1 (R1) = 40 cm
- Radius of Disk 2 (R2) = 30 cm
Step 2: Calculate the Circumference of Each Disk
- The circumference (C) of a circle is calculated using the formula:
C = 2 * π * R
- For Disk 1:
- C1 = 2 * π * 40 cm = 80π cm
- For Disk 2:
- C2 = 2 * π * 30 cm = 60π cm
Step 3: Calculate the Total Length of the String
- Now, we add the circumferences of both disks to find the total length of the string:
- Total Length = C1 + C2
- Total Length = 80π cm + 60π cm
- Total Length = 140π cm
Step 4: Approximate the Total Length
- Using the approximate value of π (3.14):
- Total Length ≈ 140 * 3.14 cm
- Total Length ≈ 439.6 cm
Conclusion
- The total length of the string wound around the two disks is approximately 439.6 cm. This comprehensive method ensures that all calculations are clear and easy to follow, leading to an accurate solution.
To find the total length of the string wound around two circular disks, we first need to calculate the length of the string around each disk separately and then add them together.
Step 1: Understand the Problem
- We have two disks with different radii:
- Radius of Disk 1 (R1) = 40 cm
- Radius of Disk 2 (R2) = 30 cm
Step 2: Calculate the Circumference of Each Disk
- The circumference (C) of a circle is calculated using the formula:
C = 2 * π * R
- For Disk 1:
- C1 = 2 * π * 40 cm = 80π cm
- For Disk 2:
- C2 = 2 * π * 30 cm = 60π cm
Step 3: Calculate the Total Length of the String
- Now, we add the circumferences of both disks to find the total length of the string:
- Total Length = C1 + C2
- Total Length = 80π cm + 60π cm
- Total Length = 140π cm
Step 4: Approximate the Total Length
- Using the approximate value of π (3.14):
- Total Length ≈ 140 * 3.14 cm
- Total Length ≈ 439.6 cm
Conclusion
- The total length of the string wound around the two disks is approximately 439.6 cm. This comprehensive method ensures that all calculations are clear and easy to follow, leading to an accurate solution.
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A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution?
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A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution?.
A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A string is wound around two circular disk as shown. If the radius of the two disk are 40 cm and 30 cm respectively. What is the total length of the string?explanation of solution?.
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