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?(1 point)
The radius of the original circle can be found by dividing the radius of the dilated circle by the scale factor.
So, the radius of the original circle is 9 inches divided by 34, which is approximately 0.2647 inches.
To find the radius of the original circle, we need to apply the inverse of the scale factor.
The original circle is dilated using a scale factor of 34, which means the radius of the dilated circle is multiplied by 34.
Let's call the radius of the original circle "r".
Therefore, the equation can be written as:
r x 34 = 9
To find the value of "r", we need to isolate it.
We can do this by dividing both sides of the equation by 34:
r = 9 / 34
Simplifying the right side:
r ≈ 0.2647
Therefore, the radius of the original circle is approximately 0.2647 inches.
To find the radius of the original circle, we can use the concept of dilations.
The scale factor of 34 tells us that the dilated circle is 34 times larger than the original circle.
Let's denote the radius of the original circle as "r".
Using the scale factor, we can set up the following proportion:
34 (scale factor) = r (original radius) / 9 (dilated radius)
To solve for "r", we can cross-multiply and then divide:
34 * 9 = r
r ≈ 306
Therefore, the radius of the original circle is approximately 306 inches.