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You use scale factor of 3/4 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?(1...Asked by Bob
Use the scale factor of 3/4 create a dilated circle with a radius of 9 in what is the radius of the original circle
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GPT 3.5
To find the radius of the original circle, we need to reverse the dilated circle using the scale factor.
Given that the scale factor is 3/4, we need to perform the inverse operation of multiplying by 3/4.
Let r be the radius of the original circle.
To reverse the dilated circle, we divide the radius of the dilated circle (9) by the scale factor (3/4):
r = 9 / (3/4) = 9 * (4/3) = 36/3 = 12
Therefore, the radius of the original circle is 12.
Given that the scale factor is 3/4, we need to perform the inverse operation of multiplying by 3/4.
Let r be the radius of the original circle.
To reverse the dilated circle, we divide the radius of the dilated circle (9) by the scale factor (3/4):
r = 9 / (3/4) = 9 * (4/3) = 36/3 = 12
Therefore, the radius of the original circle is 12.
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