# The radius of semicircular parts.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 44E
To determine

## To find: The radius of semicircular parts.

Expert Solution

The radius of semicircular parts is 35 yd.

### Explanation of Solution

Given:

The length of the track is 440 yd.

The length of each of the two straight parts is 110 yd.

Calculation:

Let the radius of semicircular parts be x.

Lengthofsemicirculartrack=Totallengthoftrack2(lengthofstraightpart)=4402(110)=440220=220

Tabulate the given information into the language of algebra.

 In words In Algebra Radius of semicircular parts x Circumference of semicircle 2πx

Model the equation for the above information.

Circumference=2πr220=2πx

Simplify the above equation for x,

220=2×227×xx=220×722×2x=35

Thus, the radius of semicircular parts is 35 yd.

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