The wheel of a compact car has a 25-in. diameter. The wheel of a pickup truck has a 31-in. diameter. To the nearest inch, how much farther does the pickup truck wheel travel in one revolution than the compact car wheel?

Mathematics · High School · Tue Nov 03 2020

Answered on

Answer:

19 in

Step-by-step explanation:

 

Since, one revolution is equal to the circumference of the wheel.

C= πd

 

->The wheel of a compact car has a 25-in. diameter. The circumference of the compact car will be:

C=  π x 25

C= 25 π in

 

->The wheel of a pickup truck has a 31-in. diameter. The circumference of the pickup truck will be:

C = π x 31

C= 31π in

 

Next, is to determine differences in distance 'd' traveled by subtraction the circumferences

d= 31π - 25π

d=6π (since π= 3.14)

d= 6 x 3.14

d=19 in

 

 

Therefore,  the pickup truck wheel traveled 19in farther in one revolution than the compact car wheel

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