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The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?
- a)6°
- b)9°
- c)12°
- d)18°
- e)36°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The figure below shows part of a circle whose circumference is 40. If ...
First, find the value of s. Since there are 8 arcs of each length, it follows that there are 8 arcs of length (4 + s). Since the circumference is 40, then 8(4 + s) = 40. Solve for s: 32 + 8s = 40 and s = 1. Now that you know the value of each length, you can solve for the degree measure of each of the arcs of length s. You know that the entire circle has 360°. You
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation:
where x is the degree measure corresponding to each arc of length 4 and 
is the degree measure corresponding to each arc of length s = 1. Now you have 
which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is 
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation:
where x is the degree measure corresponding to each arc of length 4 and is the degree measure corresponding to each arc of length s = 1. Now you have which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is Most Upvoted Answer
The figure below shows part of a circle whose circumference is 40. If ...
First, find the value of s. Since there are 8 arcs of each length, it follows that there are 8 arcs of length (4 + s). Since the circumference is 40, then 8(4 + s) = 40. Solve for s: 32 + 8s = 40 and s = 1. Now that you know the value of each length, you can solve for the degree measure of each of the arcs of length s. You know that the entire circle has 360°. You
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation: where x is the degree measure corresponding to each arc of length 4 and is the degree measure corresponding to each arc of length s = 1. Now you have which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation:
where x is the degree measure corresponding to each arc of length 4 and is the degree measure corresponding to each arc of length s = 1. Now you have which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is Community Answer
The figure below shows part of a circle whose circumference is 40. If ...
First, find the value of s. Since there are 8 arcs of each length, it follows that there are 8 arcs of length (4 + s). Since the circumference is 40, then 8(4 + s) = 40. Solve for s: 32 + 8s = 40 and s = 1. Now that you know the value of each length, you can solve for the degree measure of each of the arcs of length s. You know that the entire circle has 360°. You
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation: where x is the degree measure corresponding to each arc of length 4 and is the degree measure corresponding to each arc of length s = 1. Now you have which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is
also know that the length of the smaller arc (s) is 1/4 the length of the larger arc. Therefore, you can set up the following equation:
where x is the degree measure corresponding to each arc of length 4 and is the degree measure corresponding to each arc of length s = 1. Now you have which is 10x = 360°. So x = 36°. Recall that x is the degree measure corresponding to each arc of length 4. The degree measure corresponding to each arc of length s is
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The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer?
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The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer?.
The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer?.
Solutions for The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
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The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The figure below shows part of a circle whose circumference is 40. If arcs of length 4 and length s continue to alternate around the entire circle so that there are 8 arcs of each length, what is the degree measure of each of the arcs of length s?a)6°b)9°c)12°d)18°e)36°Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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