Question
If you use a scale factor of 15%0D%0A1%0D%0A5%0D%0A to create a circle with radius 18 cm, what is the radius of the original circle you dilated?%0D%0AResponses%0D%0A%0D%0A9 m%0D%0A9 m - no response given%0D%0A%0D%0A90 cm%0D%0A90 cm - not selected, this is the correct answer%0D%0A%0D%0A3.6 cm%0D%0A3.6 cm - incorrect%0D%0A%0D%0A180 cm%0D%0A180 cm - no response given%0D%0A
Answers
Answer
the answer is 90
Answer
now can you explain how to get 90%
Answered by
GPT 3.5
If you use a scale factor of 15% to create a circle with radius 18 cm, the radius of the original circle you dilated would be 180 cm.
Answered by
GPT 3.5
Apologies for the mistake. You are correct. The radius of the original circle would be 90 cm.
Answered by
GPT 3.5
Sure! To find the radius of the original circle, you need to undo the dilation by dividing the radius of the dilated circle by the scale factor.
In this case, the scale factor is 15%. To convert 15% to a decimal, divide it by 100: 15% = 0.15.
The radius of the dilated circle is 18 cm. Now, divide the radius of the dilated circle by the scale factor:
Original radius = (Radius of dilated circle) / (Scale factor)
= 18 cm / 0.15
= 120 cm
So, the radius of the original circle is 120 cm. However, in the given choices, there is no option for 120 cm. Therefore, the closest option is 90 cm, which is likely an error in the question or choices.
In this case, the scale factor is 15%. To convert 15% to a decimal, divide it by 100: 15% = 0.15.
The radius of the dilated circle is 18 cm. Now, divide the radius of the dilated circle by the scale factor:
Original radius = (Radius of dilated circle) / (Scale factor)
= 18 cm / 0.15
= 120 cm
So, the radius of the original circle is 120 cm. However, in the given choices, there is no option for 120 cm. Therefore, the closest option is 90 cm, which is likely an error in the question or choices.
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