The discussion revolves around finding the radius of a circle given an arc length and a central angle in radians. The specific problem involves an arc of 3 feet and a central angle of 1.8 radians, utilizing the formula s = rθ.
There is a mix of attempts to solve the problem and reflections on the significance of the figures in the answers provided. Some participants have expressed confidence in their calculations, while others have raised concerns about accuracy and significant figures without reaching a consensus.
Participants note the importance of significant figures based on the given data, with some suggesting that the original poster's answer may not reflect the appropriate level of precision. There is also mention of varying expectations regarding significant figures in different educational contexts.
GJBenn85 said:"Use the formula s = rθ ( "θ" is NOT an 8) to solve the following problem. An arc of 3 feet subtends a central angle of 1.8 radians. What is the radius of the circle?"
How do I do this problem?
Yes it does.GJBenn85 said:Nevermind...think I figured it out.
Radius of 1.666666667 feet, or 20 inches sound right?
No it is not correct. Your given numbers have only 2 significant digits, how can you claim 10 digits? The correct answer should be 1.7 ft.GJBenn85 said:Nevermind...think I figured it out.
Radius of 1.666666667 feet, or 20 inches sound right?
Integral said:No it is not correct. Your given numbers have only 2 significant digits, how can you claim 10 digits? The correct answer should be 1.7 ft.
Copying all the digits which show up on your calculator is a very bad habit. Learn to give answers which reflect the significant digits of the problem.
HallsofIvy said:GJBenn85: If you are taking calculus, you certainly should be able to solve and equation like s= rθ for r! .
HallsofIvy said:He said "20 inches" which is to two significant figures!
GJBenn85: If you are taking calculus, you certainly should be able to solve and equation like s= rθ for r! I'm glad you wer able to figure it out.
stmoe said:... not to split hairs .. but ...
20 inches has 1 significant figure
20. inches has 2 significant figures
PLUS .. many math classes don't require significant figures.. and if they do then the person has it so hammered into their head that they'd shudder at thinking about it .. AND .. writing all the digits from a calculator is a GOOD thing unless you're at a FINAL answer, and since there are most definitely 12 in / 1 ft, (a definition) ... then had the person done 1.7 ft it would be off and what if the measurements were given as exact values? ... values found in a theoretical sense of perfect measurements