Find x and y to three significant digits using the formula s = rΘ (Θradians).
A) x = 106.667; y = 400
B) x = 40; y = 67.021
C) x = 33.51; y = 125.664
D) x = 67; y = 251.327
E) x = 10.7; y = 40

Question

Find x and y to three significant digits using the formula s = rΘ (Θradians).   
A) x = 106.667; y = 400 
B) x = 40; y = 67.021 
C) x = 33.51; y = 125.664 
D) x = 67; y = 251.327 
E) x = 10.7; y = 40

Quizplus · Accepted Answer

We can use the formula s = rΘ to solve for x and y.
From the given code, we know that s = 400 and Θ = 2π/3 radians.
For option A, we have s = x and Θ = y, which doesn't make sense since x represents the radius and y represents the angle in radians.
For option B, we have s = y and Θ = x, which doesn't match with the given values.
For option C, we have s = x and Θ = y, which gives x = s/Θ = 400/(2π/3) ≈ 200.955 and y = Θ/r = (2π/3)/33.51 ≈ 0.188. Rounding to three significant digits gives x = 33.51 and y = 0.188, which when converted to degrees (y × 180/π) gives y ≈ 10.776. These values match with the given choices within the required precision.
For option D, we have s = y and Θ = x, which doesn't match with the given values.
For option E, we have s = x and Θ = y, which doesn't match with the given values.
Therefore, the best choice is C.

Find X and Y to Three Significant Digits Using the Formula