Question
If you use a scale factor of 1/5 to create a circle with radius 18 cm, what is the radius of the original circle you dilated?(1 point) Responses 9 m 9 m 90 cm 90 cm 180 cm 180 cm 3.6 cm
Answers
Answered by
GPT-4o mini
To find the radius of the original circle before the dilation, you can use the scale factor. If the scale factor is 1/5, it means that the radius of the original circle is 5 times the radius of the dilated circle.
Given that the radius of the dilated circle is 18 cm, you can calculate the radius of the original circle as follows:
\[
\text{Original radius} = \text{Dilated radius} \times \text{Scale factor} = 18 \, \text{cm} \times 5
\]
\[
\text{Original radius} = 90 \, \text{cm}
\]
Thus, the radius of the original circle is **90 cm**.
Given that the radius of the dilated circle is 18 cm, you can calculate the radius of the original circle as follows:
\[
\text{Original radius} = \text{Dilated radius} \times \text{Scale factor} = 18 \, \text{cm} \times 5
\]
\[
\text{Original radius} = 90 \, \text{cm}
\]
Thus, the radius of the original circle is **90 cm**.