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A circular racetrack has a radius of 2,016 feet. A race car starts at point B and travels counterclockwise around the track to point C. How
many feet did the race car travel?

Select The Correct Answer A Circular Racetrack Has A Radius Of 2016 Feet A Race Car Starts At Point B And Travels Counterclockwise Around The Track To Point C H class=

Sagot :

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Answer:

A

Step-by-step explanation:

The diameter is 2πr or 4032π in this. The arc from B to C counterclockwise is 130° out of 360°. 130/360 multiplied by 4032 is 1456

If the radius of the circular ground be 2016 feet and angle between the radius given is 130 degrees then race car travelled 1456π feet which is option a.

What is sector of circle?

Sector is basically length of that area of circle's arc which is formed by two radius of the circle. The length of sector is Θr where r is radius and Θ is angle made by both radius but in radian form.

How to calculate length of sector?

We have been given radius equal to 2016 feet and angle 130°. We have to find the distance that race car had travelled by racing from point B to point A. It can be equal to the length of sector of the circular ground.

Sector BAC =130π/180* 2016

=262080π/180

=1456 feet.

Hence if the radius of the circular ground be 2016 feet and angle between the radius given is 130 degrees then race car travelled 1456π which is option a.

Learn more about sector at https://brainly.com/question/22972014

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