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Circle O shown below has an arc of length 19 inches subtended by an angle of 1 radians. Find the length of the radius, x, to the nearest tenth of an inch. Answer: inches

Circle O O shown below has an arc of length 1919 inches subtended by an angle of 11 radians. Find the length of the radius, x x , to the nearest tenth of an inch.\newlineAnswer: □\square inches

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Q. Circle O O shown below has an arc of length 1919 inches subtended by an angle of 11 radians. Find the length of the radius, x x , to the nearest tenth of an inch.\newlineAnswer: □\square inches
  1. Use Arc Length Formula: To find the radius of the circle, we can use the formula for the length of an arc, which is arc length=radius×angle arc \ length = radius \times angle in radians. We need to rearrange the formula to solve for the radius.
  2. Rearrange Formula: The rearranged formula to solve for the radius (x) is radius=arc lengthangle radius = \frac{arc \ length}{angle} .
  3. Plug in Values: Now we can plug in the values we have: x=19 inches1 radian x = \frac{19 \ inches}{1 \ radian} .
  4. Perform Division: Performing the division gives us the length of the radius: x=19 inches x = 19 \ inches .
  5. Final Result: Since the problem asks for the radius to the nearest tenth of an inch, we do not need to round the result because it is already an exact value with no decimal places.

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