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Circle O shown below has a radius of 7 inches. To the nearest tenth of an inch, determine the length of the arc, x, subtended by an angle of 1.4 radians. Answer: inches

Circle O O shown below has a radius of 77 inches. To the nearest tenth of an inch, determine the length of the arc, x x , subtended by an angle of 11.44 radians.\newlineAnswer: □\square inches

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Full solution

Q. Circle O O shown below has a radius of 77 inches. To the nearest tenth of an inch, determine the length of the arc, x x , subtended by an angle of 11.44 radians.\newlineAnswer: □\square inches
  1. Identify Formula: Identify the formula to calculate the length of an arc.\newlineThe length of an arc ss in a circle is given by the formula s=rθs = r\theta, where rr is the radius of the circle and θ\theta is the central angle in radians.
  2. Plug Values: Plug the given values into the formula.\newlineHere, the radius rr is 77 inches and the angle θ\theta is 1.41.4 radians.\newlineSo, s=7s = 7 inches ∗1.4* 1.4 radians.
  3. Perform Multiplication: Perform the multiplication to find the length of the arc. s=7s = 7 inches ∗1.4* 1.4 radians =9.8= 9.8 inches.
  4. Round Result: Round the result to the nearest tenth of an inch as requested.\newlineThe length of the arc, to the nearest tenth of an inch, is 9.89.8 inches (since it is already at the tenth place).

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