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12 Mar 2012, 14:16
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how to find the length of arcs of circles at the vertices. for example in the figure if radius of circles is given. how to get length of major arcs?
all circles have same radius...
all circles have same radius...
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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12 Mar 2012, 17:00
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Could you clarify the question slightly?
If what I understand is correct, you are trying to find the length of the arc of the circles that are located inside the triangle? If this is the case, you would need to know the angles of the vertices of the triangle. For example, lets say your picture is an equalateral triangle (all angles are 60), then to find the length of the arc you would have to be atleast given the radius of the circle and know that the vertices of the triangle lie in the center of the circles. Once you have the radius you would use the formula: 2(pi)r to get the circumference, and that you would multiply the circumference by 60/360 (b/c this is the portion of the circumference of the circle within the 60 degrees of the triangle).
For example, if the radius of the circle was 1, then the circumference of the circle would be 2(pi). You'd multiply the 2(pi) by 60/360 (aka 1/6) to get the length of the arc of 1/3(pi) inside the triangle. If you are looking for the arc length on the outside of the trinable then you would have instead multiplied the 2(pi) by 300/360 to get 1 and 2/3(pi)
Make sense? Let me know if this answers your answer as you've asked, or please clarify of give us the orignal question. Would be happy to help!
If what I understand is correct, you are trying to find the length of the arc of the circles that are located inside the triangle? If this is the case, you would need to know the angles of the vertices of the triangle. For example, lets say your picture is an equalateral triangle (all angles are 60), then to find the length of the arc you would have to be atleast given the radius of the circle and know that the vertices of the triangle lie in the center of the circles. Once you have the radius you would use the formula: 2(pi)r to get the circumference, and that you would multiply the circumference by 60/360 (b/c this is the portion of the circumference of the circle within the 60 degrees of the triangle).
For example, if the radius of the circle was 1, then the circumference of the circle would be 2(pi). You'd multiply the 2(pi) by 60/360 (aka 1/6) to get the length of the arc of 1/3(pi) inside the triangle. If you are looking for the arc length on the outside of the trinable then you would have instead multiplied the 2(pi) by 300/360 to get 1 and 2/3(pi)
Make sense? Let me know if this answers your answer as you've asked, or please clarify of give us the orignal question. Would be happy to help!
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
