Question

The table below

A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL

Answer 1

`Scale\ Factor = 1.5`

Explanation:

See attachment for proper presentation of question.

From the attachment, we have:

`A = 7`

`A' = 10.5`

Required

Determine the scale factor

To solve this, simply divide the circumference of A' by that of A.

This gives the scale factor used

i.e.

`Scale\ Factor = (A')/(A)`

Substitute values for A and A'

`Scale\ Factor = (10.5)/(7)`

`Scale\ Factor = 1.5`

Hence, the scale factor used is 1.5

Additional Note:

If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.

Then determine the scale factor by A'/A