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?
To find the radius of the original circle, divide the radius of the dilated circle by the scale factor:
r = (radius of dilated circle) / (scale factor)
Given the radius of the dilated circle is 18 cm and the scale factor is 15, we have:
r = 18 cm / 15 = 1.2 cm
Therefore, the radius of the original circle is 1.2 cm.
Sorry, I mean't 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?
To find the radius of the original circle, multiply the radius of the dilated circle by the reciprocal of the scale factor:
r = (radius of dilated circle) * (reciprocal of the scale factor)
Given the radius of the dilated circle is 18 cm and the scale factor is 1/5, the reciprocal of 1/5 is 5/1.
r = 18 cm * (5/1) = 90 cm
Therefore, the radius of the original circle you dilated is 90 cm.