A bug lands on a windshield wiper blade before it is flung off. The wiper blade and arm assembly have a length of 30 inches. If the blade passed through an angle of 68 degrees before the bug is thrown off, how far has the bug traveled?
2 answers:
Answer:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches
Answer: 35.58 inches
Step-by-step explanation:
The distance that the bug travels is equal to the arc of the circle where the radius is 30 inches and the angle is 68°
The arc can be written as:
A = angle*r
where the angle is in radians, we know that:
180° = 3.14
then:
68° = (68°/180°)*3.14 = 1.19 radians.
Then the arc is:
A = 1.19*30in = 35.58 inches
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