Question

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?

Answer 1

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 2

Circumference of the well = 3.93 ft

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 =
`(2.5)/(2)=1.25ft`

Now radius of the well will be
`r=(Diameter)/(2)`

`r=(1.25)/(2)=0.625 ft`

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 "