In this problem, you will explore changing dimensions in circles.

a. Use a compass to draw three circles in which the scale factor from each circle to the next larger circle is 1: 2 .

Respuesta :

A circle is a curve sketched out by a point moving in a plane. The radius of three circles will be 1 unit, 2 units, and 4 units, respectively.

What is a circle?

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 center.

Given that  the scale factor from each circle to the next larger circle is 1: 2. Therefore, if it is assumed that the radius of the first circle is 1 unit, then the radius of the second circle will be,

The radius of the first circle/Radius of the second circle = 1/2

The radius of the second circle = 2 × (Radius of the first circle)

The radius of the second circle = 2 × 1 unit

The radius of the second circle = 2 units

Similarly, the ratio for the radius of the second and the third circle can be written as,

The radius of the second circle / Radius of the third circle = 1/2

The radius of the third circle = 2 × (Radius of the second circle)

The radius of the third circle = 2 × 2 units

The radius of the third circle = 4 units

Hence, the radius of three circles will be 1 unit, 2 units, and 4 units, respectively.

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