Circle O shown below has a radius of 20 inches. Find, to the nearest tenth, the radian measure of the angle, x, that forms an arc whose length is 40 inches. Answer: radians

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Circle  O shown below has a radius of 20 inches. Find, to the nearest tenth, the radian measure of the angle,  x, that forms an arc whose length is 40 inches. Answer: radians

Bytelearn · Accepted Answer

Understand Relationship: Understand the relationship between arc length, radius, and central angle in radians. The formula that relates arc length (s), radius (r), and central angle in radians (θ) is s = rθ.Plug in Values: Plug in the given values into the formula. We are given the arc length s = 40 inches and the radius r = 20 inches. We need to find the central angle in radians, θ. So, we have 40 = 20θ.Solve for θ: Solve for θ. To find θ, we divide both sides of the equation by 20. θ = 40 / 20 θ = 2Check for Errors: Check for any possible math errors. We have used the correct formula and performed the division correctly.Round Answer: Round the answer to the nearest tenth, if necessary. Since θ = 2 is already to the nearest tenth, no further rounding is needed.

Circle $O$ shown below has a radius of $20$ inches. Find, to the nearest tenth, the radian measure of the angle, $x$ , that forms an arc whose length is $40$ inches. $\newline$ Answer: $\square$ radians

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Circle $O$ shown below has a radius of $20$ inches. Find, to the nearest tenth, the radian measure of the angle, $x$ , that forms an arc whose length is $40$ inches. $\newline$ Answer: $\square$ radians