Solve The diameter of a bicycle wheel is 27 in. How many revolutions does the wheel make when the bicycle travels 100 ft?

The perimeter (circumference) of the wheel is:

P

=

2

π

r

=

π

d

=

π

(

27

)

=

27

π

in

This is also the distance the bicycle travels with each revolution of the wheel.

To figure out the number of revolutions of the wheel over a distance of

10

miles, we convert the

10

miles to inches and divide it by

P

:

1

mile

=

63360

inches

10

(

63360

)

=

633600

inches

R

P

H

=

633600

27

π

(this is the number of revolutions in one hour)

We divide this by

60

to get the number of revolutions per minutes or

R

P

M

:

R

P

M

=

633600

27

π

60

=

(

633600

27

π

)

(

1

60

)

=

10560

27

π

=

10560

84.823

=

124.49

x

step-by-step explanation:

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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