Emma is making a scale drawing of her farm using the scale 1 cm = 2.5 ft. In the drawing, she drew a well with a diameter of 0.5 centimeter. Which is the closest to the actual circumference of the well?

Respuesta :

1cm = 2.5 ft
0.5 cm = 1.25 ft

Circumference = πD
Circumference = π(1.25)
Circumference = 3.93 ft

Answer: 3.93 ft

Answer:

Circumference of the well = 3.93 ft

Step-by-step explanation:

Emma is making a scale drawing of her farm using the scale 1 cm = 2.5 ft

She drew a well with a diameter of 0.5 cm.

We have to calculate the actual circumference of the well.

Since the scale factor used by Emma was 1 cm = 2.5 ft

So by this scale actual diameter of well will be

0.5 cm =  [tex]\frac{2.5}{2}=1.25ft[/tex]

Now radius of the well will be [tex]r=\frac{Diameter}{2}[/tex]

[tex]r=\frac{1.25}{2}=0.625 ft[/tex]

Since circumference of a circle P = 2πr

Therefore P = 2×(3.14)×(0.625) = 3.93 ft

Answer is " circumference of the well is 3.93 ft "

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