a toy racecar moves along a circular track with a radius 2.7 feet long and starts at the 3-o'clock position. imagine an angle with its vertex at the center of the track that subtends the path the racecar travels. if the angle measures 1.6 radians, how many feet did the racecar travel along the circular track?

Respuesta :

The distance traveled by the race car along the circular track is given as follows:

4.33 feet.

How to obtain the distance traveled by the car?

Before obtaining the distance traveled by the car, we need to obtain the circumference of the circle.

The circumference of a circle of radius r is given by the multiplication of 2π and r, as follows:

C = 2πr.

The radius for the circle in this problem is of:

r = 2.7 feet.

Then the circumference of the circle is of:

C = 2π x 2.7 = 17 feet.

(replacing r by it's numeric value).

The entire circumference is equivalent to 2π radians. The car traveled 1.6 radians, hence the distance traveled is given as follows:

Distance = 1.6/2π x 17 = 4.33 feet.

More can be learned about the circumference of a circle at https://brainly.com/question/12823137

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