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The town recreation committee raised money to increase the circumference of the jogger’s park, which was initially 1000 feet. It was decided to multiply the radius of the jogger’s park by 3. If this decision were to be implemented, what would be the circumference of the new park?

A. 4000 ft.
B. 5000 ft.
C. 3000 ft.
D. 4500 ft.

Respuesta :

mahamenahi

Answer:C. 3000 ft

Step-by-step explanation:

First, find the radius of the circumference.

By dividing 1000 ft by 2, which is 500, and that is the radius.

Then you multiply the radius by 3, which is 1500.

Finally, you want the circumference, to find the circumference you need to multiply the radius by 2, which is 3000 ft.

That’s it.

varshamittal029

If the decision to multiply the radius of the jogger’s park by 3 were to be implemented, the circumference of the new park would be 3000 ft.

What is the circumference of a circle?

The circumference of a circle in geometry is its perimeter. In other words, if the circle was expanded up and straightened out to a line segment, the circumference would be the length of the arc.

How to solve this problem?

Let the initial radius of the jogger’s park be r ft. Given that the circumference of the park was 1000 feet initially.

We can write

2πr = 1000

i.e. r = 1000/2π = 500/π

But the radius of the new park is 3r = 3 × (500/π) = 1500/π ft.

So, the circumference of the new park is 2π × (1500/π) = 2 × 1500 = 3000 ft.

Hence, If the decision to multiply the radius of the jogger’s park by 3 were to be implemented, the circumference of the new park would be 3000 ft. Option (C) is correct.

Know more about circumferences here -

https://brainly.com/question/12030034

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