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?(1 point)%0D%0A inches
4 answers
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)%0D%0A inches
To find the radius of the original circle, we can multiply the dilated circle's radius by the reciprocal of the scale factor (3/4 in this case) because the original radius scaled to the dilated radius.
Radius of original circle = Radius of dilated circle * reciprocal of scale factor
Radius of original circle = 9 inches * (4/3)
Radius of original circle = 36 / 3
Radius of original circle = 12 inches
Therefore, the radius of the original circle is 12 inches.
Radius of original circle = Radius of dilated circle * reciprocal of scale factor
Radius of original circle = 9 inches * (4/3)
Radius of original circle = 36 / 3
Radius of original circle = 12 inches
Therefore, the radius of the original circle is 12 inches.
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?(1 point)%0D%0A inches
To find the radius of the original circle when a dilated circle with a radius of 9 inches is created using a scale factor of 3/4, you can calculate it by multiplying the radius of the dilated circle by the reciprocal of the scale factor, which will give you the radius of the original circle.
Radius of original circle = Radius of dilated circle * (1 / Scale Factor)
Radius of original circle = 9 * (1 / 3/4)
Radius of original circle = 9 / (3/4)
Radius of original circle = 9 * (4/3)
Radius of original circle = 36 / 3
Radius of original circle = 12 inches
Therefore, the radius of the original circle is 12 inches.
Radius of original circle = Radius of dilated circle * (1 / Scale Factor)
Radius of original circle = 9 * (1 / 3/4)
Radius of original circle = 9 / (3/4)
Radius of original circle = 9 * (4/3)
Radius of original circle = 36 / 3
Radius of original circle = 12 inches
Therefore, the radius of the original circle is 12 inches.