Answer:
4 pi
Step-by-step explanation:
The radius of A circle with radius of 4 in, after dilating by a scale factor of one-half, will be 2 inches.
Cirumference of the circle after dilation is
C= 2 pi r
C = 2 * pi * 2
C= 4 pi
A circle is a curve sketched out by a point moving in a plane. The circumference of the circle after dilation will be equal to 4π inches.
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given a circle with a radius of 4 in. is dilated by a scale factor of One-half. Therefore, the radius of the dilated circle is,
Radius after dilation = 4 in. × (1/2)
= 2 inches
Now, the circumference of the dilated circle can be written as,
Circumference = 2 × π × R
= 2 × π × 2 inches
= 4π inches
Hence, the circumference of the circle after dilation will be equal to 4π inches.
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