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?

Question

Kamora Perez

Mathematics

27 June, 11:20

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?

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Kaylynn Vega · Answer 1

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.