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Circle theorems: medium

Problem

The figure shows a circle with center C and a radius of 4 meters. A central angle of 'x' degrees intercepts an arc of (5 times pi) meters.
In a circle with center C and radius 4 meters left parenthesis, start text, m, end text, right parenthesis, a central angle of x, degrees intercepts an arc of 5, pi, start text, space, m, end text as shown in the image. What is the value of x ?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
How do I enter a student-produced response on the SAT?
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