You use scale factor of 34 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?
The radius of the original circle can be found using the relationship between the radii of similar figures, which is that they are proportional to the scale factor.
So, if the scale factor is 34 and the dilated circle has a radius of 9 inches, then the radius of the original circle can be found by dividing the radius of the dilated circle by the scale factor:
Radius of the original circle = Radius of the dilated circle ÷ scale factor
Radius of the original circle = 9 inches ÷ 34
Radius of the original circle = 0.2647 inches (rounded to four decimal places)
Therefore, the radius of the original circle is approximately 0.2647 inches when a scale factor of 34 is used to create a dilated circle with a radius of 9 inches.
Ah, dilations and scale factors, such a thrilling topic! Well, let's do some math and get to the bottom of this. If the radius of the dilated circle is 9 inches, and the scale factor used is 34, then to find the radius of the original circle, we need to divide the radius of the dilated circle by the scale factor.
So, let me whip out my trusty calculator... 9 inches divided by 34... and voila! I have the answer! The radius of the original circle is approximately 0.2647 inches.
However, I must warn you, my dear inquirer, that this answer is quite minuscule, perhaps even microscopic. It might take the assistance of a powerful magnifying glass or a curious ant to fully appreciate the original circle. So, proceed with caution and don't lose sight of that tiny radius!
To find the radius of the original circle, divide the radius of the dilated circle by the scale factor.
Radius of dilated circle = 9 inches
Scale factor = 34
Radius of original circle = Radius of dilated circle / Scale factor
Radius of original circle = 9 inches / 34
Radius of original circle ≈ 0.2647 inches
To find the radius of the original circle, you need to reverse the dilation process using the scale factor.
The scale factor represents the ratio of the corresponding lengths in the dilated and original figures. In this case, the scale factor is 34, which means that the lengths in the dilated circle are 34 times bigger than the lengths in the original circle.
To reverse this, you need to divide the given radius of the dilated circle by the scale factor.
Original radius = Dilated radius / Scale factor
Original radius = 9 inches / 34 = 0.2647 inches (rounded to four decimal places)
Therefore, the radius of the original circle is approximately 0.2647 inches.