Option D
The measure of the intercepted arc between those two cars on the Ferris wheel is 164.9 feet
Solution:
Given that Ferris wheel has a radius of 70 feet
Two particular cars are located such that the central angle between them is 135 degrees
To find: Arc length
From given question,
radius = r = 70 feet
central angle = [tex]\theta[/tex] = 135 degrees
The length of an arc, l, given the central angle, θ, and the radius, r, is given by:
[tex]l= \frac{\theta}{360} \times2\pi r[/tex]
Where, "l" is the length of arc and "r" is the radius and [tex]\pi = 3.14[/tex]
Substituting the given values we get,
[tex]l = \frac{135}{360} \times 2 \times 3.14 \times 70[/tex]
[tex]l = 0.375 \times 2 \times 3.14 \times 70\\\\l = 0.375 \times 439.6\\\\l = 164.85 \approx 164.9[/tex]
Thus the length of arc is 164.9 feet
