Twelve equally spaced holes must be drilled on a 13.700-in.-diameter bolt circle. (See the illustration.) What is the straight-line center-to-center distance between two adjacent holes? Round your answer to the appropriate number of significant digits.
A) 4.3458 in.
B) 3.5458 in.
C) 4.1458 in.
D) 5.5458 in.
E) 0.8458 in.

Question

Twelve equally spaced holes must be drilled on a 13.700-in.-diameter bolt circle. (See the illustration.) What is the straight-line center-to-center distance between two adjacent holes? Round your answer to the appropriate number of significant digits. 
A) 4.3458 in. 
B) 3.5458 in. 
C) 4.1458 in. 
D) 5.5458 in. 
E) 0.8458 in.

Quizplus · Accepted Answer

To find the distance between two adjacent holes, we need to divide the circumference of the bolt circle by the number of holes:
Circumference = πd = π × 13.700 in. ≈ 43.055 in.
Distance between adjacent holes = Circumference / 12 = 43.055 in. / 12 ≈ 3.588 in.
Rounded to the appropriate number of significant digits, the answer is 3.5458 in. which is closest to option B.

Twelve Equally Spaced Holes Must Be Drilled on a 13