High School

On a certain vehicle, one windshield wiper is 60 cm long. If the wiper turns 105°, what is the length of the arc made by the windshield wiper?

a) 31.5 cm
b) 33.1 cm
c) 27.7 cm
d) 36.9 cm

Answer :

Final answer:

The length of the arc created by the rotation of the windshield wiper is approximately 33.1 cm. This is found by applying the formula for calculating arc length in a circle.

Explanation:

This question is asking about a concept called arc length in the field of Geometry. When an object such as the wiper, placed on the circumference of a circle, rotates a certain degree, it creates an arc. We can compute the length of this arc by using the formula for arc length which is: Arc length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius of the circle, in this case, the length of the wiper.

Inserting the values into the formula, we have: Arc length = (105/360) * 2 * 3.14 * 60 = 33.1 cm, which corresponds to option (b).

Learn more about Arc Length here:

https://brainly.com/question/32035879

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