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GJBenn85
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"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?
How do I do this problem?
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
The radius of a circle is the distance from the center of the circle to any point on the circle's circumference.
The radius of a circle can be calculated using the formula: r = C / 2π, where r is the radius, C is the circumference of the circle, and π is the mathematical constant pi (approximately 3.14).
The diameter of a circle is equal to twice the radius. In other words, the diameter is the distance across the circle through its center, while the radius is the distance from the center to the edge of the circle.
The radius of a circle can be measured using a ruler or measuring tape. Place the measuring tool on the center of the circle and extend it to the edge to determine the radius.
The unit of measurement for the radius of a circle can vary, but it is typically measured in units such as inches, centimeters, or meters.