# MAT/116 Week 3 dq 1

**Question description**

In week 3, Section 2.4 of the text

discussed some mathematical formulas that are used in various fields to solve

problems in geometry.

Here’s a problem involving the

circumference and radius of a circle.

The equation for

circumference **C** in terms of radius **r** is: **C = 2****p****r**.

Let’s assume the earth is a perfect

sphere and we tie a rope around the earth. The rope sits tightly on the surface

(circumference) of the earth.

Now let’s cut the rope and add 1

foot to it. (We’ve added 1 foot to the circumference.) The rope no longer sits

tightly on the earth, but is now some distance away from the surface.

**Question**: How far away from the

surface is the rope after we’ve added the foot to the circumference? Or asking

another way-- when I add 1 foot to the circumference, what happens to the

radius? Show the equations and how they were used to solve this

problem.

( Note: No need to bring in the

distance around the earth which is 25000 miles. Just work with the equation for

circumference.)

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