If you use a scale factor of 15 to create a circle with radius 18 cm, what is the radius of the original circle you dilated?(1 point) Responses 90 cm 90 cm 180 cm 180 cm 9 m 9 m 3.6 cm

Answer 1

To find the radius of the original circle before dilation, you can use the scale factor and the radius of the new circle.

The scale factor is given as 15, and the radius of the new circle is 18 cm.

To find the original radius, you divide the radius of the dilated circle by the scale factor:

$$\text{Original radius}=\frac{\text{New radius}}{\text{Scale factor}}=\frac{18\text{ cm}}{15}=1.2\text{ cm}$$

However, none of the provided options (90 cm, 180 cm, 9 m, 3.6 cm) match the calculated radius of 1.2 cm, meaning there might be a misunderstanding in scale or values. Check the context of this problem to ensure the values make sense as presented. Based on standard mathematics, if the radius should have been multiplied or not divided correctly, the original circle's radius (before dilation) would actually be much smaller given a dilation factor of 15.

Hence, the answer can be inferred you might check for possible alternative answers based on the given options. Alternatively, we can provide the context we have. Based on a direct check of options, options probably stem from an unintended miscalculation factor for the original radius inquiry. A check for correct context and understanding of the problem might help.