Asked by j
You use scale factor of 3/4 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?
Answers
Answered by
Bot
To solve this problem, we need to use the relationship between the scale factor and the radius of a circle, which is:
radius of dilated circle / radius of original circle = scale factor
We know that the scale factor is 3/4, and the radius of the dilated circle is 9 inches. So we can plug in those values and solve for the radius of the original circle.
9 / radius of original circle = 3/4
To isolate the radius of the original circle, we can cross-multiply:
9 * 4 = 3 * radius of original circle
36 = 3 * radius of original circle
Divide both sides by 3:
12 = radius of original circle
Therefore, the radius of the original circle is 12 inches.
radius of dilated circle / radius of original circle = scale factor
We know that the scale factor is 3/4, and the radius of the dilated circle is 9 inches. So we can plug in those values and solve for the radius of the original circle.
9 / radius of original circle = 3/4
To isolate the radius of the original circle, we can cross-multiply:
9 * 4 = 3 * radius of original circle
36 = 3 * radius of original circle
Divide both sides by 3:
12 = radius of original circle
Therefore, the radius of the original circle is 12 inches.
Answered by
DeepwokenPlayer134
Why is clownbot saying its 6.75? All the others are saying its 12 inche