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, we need to divide the dilated radius by the scale factor.
The dilated radius is 18 cm.
The scale factor is 1/5.
So, the radius of the original circle is:
18 cm / (1/5) = 18 cm * 5 = 90 cm.
Therefore, the radius of the original circle is 90 cm.
To find the radius of the original circle, you need to reverse the scale factor of 1/5. If the dilated circle has a radius of 18 cm, we can calculate the radius of the original circle using the formula:
Original Radius = Dilated Radius / Scale Factor
Substituting the given values:
Original Radius = 18 cm / 1/5
To divide by a fraction, we multiply by its reciprocal:
Original Radius = 18 cm * 5/1
Simplifying the expression:
Original Radius = 90 cm
Therefore, the radius of the original circle is 90 cm.