Explanation
Correct answer: D.
Choice D is correct. Since the endpoints of minor arc and major arc are the same, and the arcs together form a full circle, the sum of the lengths of these two arcs is equal to the circumference of the circle. It's given that the length of minor arc is centimeters and the length of major arc is centimeters. Therefore, the circumference of the circle, in centimeters, is , or .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the length, in centimeters, of minor arc , not the circumference, in centimeters, of the circle.
Choice B
Choice B is incorrect. This is the difference of the lengths of major arc and minor arc , in centimeters.
Choice C
Choice C is incorrect. This is the length, in centimeters, of major arc , not the circumference, in centimeters, of the circle.