A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6π meters long. What is the radius "r" of the circle that the python forms?

The python is 2.6pi meters long. This is the circumference because it's the distance around the circle. So, C = 2.6pi

We will plug this into the formula below and isolate r

C = 2*pi*r
2.6pi = 2*pi*r
2.6 = 2*r .... divide both sides by pi
2.6/2 = 2r/2
1.3 = r
r = 1.3

Since r = 1.3, this means that the radius is 1.3 meters.

Answer Link

facundo3141592 facundo3141592 · Answer 2 · 2022-02-14T13:36:01+01:00

By using the formula of the perimeter, we will see that the radius is 1.3 meters.

How to find the radius of a circle?

The length of the python would be equal to the perimeter of the circle that she forms.

Remember that the perimeter of a circle of radius r is:

P = 2*π*r

In this case, we know that the length is:

2.6*π meters.

Then we will have that:

2.6*π meters = 2*π*r

Solving that for r we get:

r = (2.6*π meters)/( 2*π) = 1.3 meters.

So the radius of the circle is 1.3 meters.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774