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If the circumference of a circle is measured as 31.4 cm with an error of 0.2 cm,
If the circumference of a circle is measured as 31.4 cm with an error of 0.2 cm, what is the radius?
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Practice Questions
1 question
Q1
If the circumference of a circle is measured as 31.4 cm with an error of 0.2 cm, what is the radius?
5 cm
4.5 cm
5.0 cm
6 cm
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Circumference = 2πr. Measured circumference = 31.4 cm. Thus, r = 31.4 / (2π) ≈ 5.0 cm.
Questions & Step-by-step Solutions
1 item
Q
Q: If the circumference of a circle is measured as 31.4 cm with an error of 0.2 cm, what is the radius?
Solution:
Circumference = 2πr. Measured circumference = 31.4 cm. Thus, r = 31.4 / (2π) ≈ 5.0 cm.
Steps: 7
Show Steps
Step 1: Understand the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
Step 2: Identify the measured circumference from the question, which is 31.4 cm.
Step 3: Rearrange the formula to solve for the radius (r). This gives us r = C / (2π).
Step 4: Substitute the measured circumference (31.4 cm) into the formula: r = 31.4 / (2π).
Step 5: Calculate the value of r using the approximation π ≈ 3.14. So, 2π ≈ 6.28.
Step 6: Perform the division: r ≈ 31.4 / 6.28.
Step 7: Calculate the result, which gives r ≈ 5.0 cm.
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