contestada

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

Respuesta :

MrRoyal

Answer:

[tex]Scale\ Factor = 1.5[/tex]

Step-by-step explanation:

See attachment for proper presentation of question.

From the attachment, we have:

[tex]A = 7[/tex]

[tex]A' = 10.5[/tex]

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.

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A and A'

[tex]Scale\ Factor = \frac{10.5}{7}[/tex]

[tex]Scale\ Factor = 1.5[/tex]

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

Ver imagen MrRoyal

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