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Circle O shown below has a radius of 8 inches. Find, to the nearest tenth, the radian measure of the angle, x, that forms an arc whose length is 12 inches. Answer: radians

Circle O O shown below has a radius of 88 inches. Find, to the nearest tenth, the radian measure of the angle, x x , that forms an arc whose length is 1212 inches.\newlineAnswer: □\square radians

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Q. Circle O O shown below has a radius of 88 inches. Find, to the nearest tenth, the radian measure of the angle, x x , that forms an arc whose length is 1212 inches.\newlineAnswer: □\square radians
  1. Understand Relationship: Understand the relationship between arc length, radius, and angle in radians.\newlineThe formula that relates arc length ss, radius rr, and angle in radians θ\theta is s=rθs = r\theta.
  2. Plug in Values: Plug in the given values into the formula.\newlineWe are given the arc length s=12s = 12 inches and the radius r=8r = 8 inches. We need to find the angle in radians, θ\theta.\newlineSo, we have 12=8θ12 = 8\theta.
  3. Solve for θ\theta: Solve for θ\theta.\newlineTo find θ\theta, we divide both sides of the equation by 88.\newlineθ=128\theta = \frac{12}{8}\newlineθ=1.5\theta = 1.5
  4. Round Answer: Round the answer to the nearest tenth.\newlineThe angle in radians is 1.51.5, which is already to the nearest tenth.

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