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
If the scale factor used to create the smaller circle is 1/5, then the radius of the original circle can be found by multiplying the radius of the smaller circle by the reciprocal of the scale factor.
Reciprocal of 1/5 is 5/1 = 5.
Thus, the radius of the original circle that was diluted is 5 * 18 cm = 90 cm.
To find the radius of the original circle, you can use the formula for dilation:
Dilated radius = Scale factor * Original radius
In this case, the scale factor is 1/5 and the dilated radius is 18 cm. By substituting these values into the formula, you can solve for the original radius:
Original radius = Dilated radius / Scale factor
Substituting the values:
Original radius = 18 cm / (1/5)
Simplifying:
Original radius = 18 cm * (5/1)
Original radius = 18 cm * 5
Original radius = 90 cm
Therefore, the radius of the original circle, before the dilation, is 90 cm.