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A button with a diameter of 6 cm is made from a circular banner. The scale factor of the reduction was 1/6 . What was the diameter of the original banner? Why

User IllSc
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2 Answers

1 vote

Answer:

36cm

Explanation:

If the current banner is a reduction of 1/6, then you have to expand it by the reciprocal. 6/1 *6 =36.

User Martin Rhodes
by
8.2k points
5 votes

Answer:

36 cm.

Explanation:

It is given that A button with a diameter of 6 cm is made from a circular banner. The scale factor of the reduction was 1/6 .

Let
d be the diameter of the original banner.

The scale factor of the reduction was 1/6 . It means,


\text{New diameter}=(1)/(6)* \text{Original diameter}


6=(1)/(6)* d

Multiply both sides by 6.


36=d

Hence, the diameter of the original banner is 36 cm.

User Faridz
by
7.8k points

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