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In the circle above, arc AB has a measure of 7π. What is the value of x?
Correct answer is '35'. Can you explain this answer?
Verified Answer
In the circle above, arc AB has a measure of 7π. What is the value ...
Since an arc is simply a portion of a circumference, let’s first calculate the circumference of the circle: C = 2πr = 2π(36) = 72π
Because arc AB has a measure of 7π, it is
of the entire circumference. Since x° is the measure of the central angle that corresponds to this arc, it must be the same fraction of the whole:
Cross multiply: 72x = 7(360)
Divide by 72: x = 7(5)
Simplify: x = 35
Because arc AB has a measure of 7π, it is
of the entire circumference. Since x° is the measure of the central angle that corresponds to this arc, it must be the same fraction of the whole:Cross multiply: 72x = 7(360)
Divide by 72: x = 7(5)
Simplify: x = 35
Most Upvoted Answer
In the circle above, arc AB has a measure of 7π. What is the value ...
Since an arc is simply a portion of a circumference, let’s first calculate the circumference of the circle: C = 2πr = 2π(36) = 72π
Because arc AB has a measure of 7π, it isof the entire circumference. Since x° is the measure of the central angle that corresponds to this arc, it must be the same fraction of the whole:
Cross multiply: 72x = 7(360)
Divide by 72: x = 7(5)
Simplify: x = 35
Because arc AB has a measure of 7π, it is
of the entire circumference. Since x° is the measure of the central angle that corresponds to this arc, it must be the same fraction of the whole:Cross multiply: 72x = 7(360)
Divide by 72: x = 7(5)
Simplify: x = 35
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In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer?
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In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer?.
In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the circle above, arc AB has a measure of 7π. What is the value of x?Correct answer is '35'. Can you explain this answer?.
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