How Do You Find The Scale Factor Of A Circle?

How is a circle different from other shapes?

A circle is a two-dimensional shape (it has no thickness and no depth) made up of a curve that is always the same distance from a point in the center.

An oval has two foci at different positions, whereas a circle’s foci are always in the same position..

Are all circles congruent?

All circles of the same size are congruent to one another. “Size” can refer to radius, diameter, circumference, area, etc.

What is the scale factor of 2?

Linear scale factor The size of an enlargement/reduction is described by its scale factor. For example, a scale factor of 2 means that the new shape is twice the size of the original. … You can get the ‘big’ and ‘small’ from the corresponding sides on the figures.

What is scale factor in math definition?

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

What is a scale factor in math in 7th grade definition?

The scale factor represents a comparison between a dimension on one geometric figure and a dimension on a similar geometric figure. To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

What is a scale copy?

A scale copy of a figure is a figure that is geometrically similar to the original figure. This means that the scale copy and the original figure have the same shape but possibly different sizes. … The floor plan drawing has the same shape as but is smaller than the actual floor.

What does a scale mean?

Definition of scale (Entry 5 of 7) 1 : a graduated series of musical tones ascending or descending in order of pitch according to a specified scheme of their intervals. 2 : something graduated especially when used as a measure or rule: such as.

How do you find the scale factor between two circles?

A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor. The ratio between the radii is \begin{align*}\frac{3}{1}\end{align*} so the scale factor is \begin{align*}\frac{3}{1}=3\end{align*}.

What is a scale factor in math in 7th grade?

● Scale Factor: The ratio of any two corresponding lengths in two similar. geometric figures.

What does a scale factor of less than 1 mean?

When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.

What is a scale factor example?

A scale factor is a number which multiplies (“scales”) a quantity. For example,the “C” in y = Cx is the scale factor for x. If the equation were y = 5x, then the factor would be 5.

What is a scale factor of 3 2?

This gives us the ratios 12/8, 15/10, and 9/6. These all reduce to the fraction 3/2, or 1 1/2 (the second triangle is a little less than twice as big). We usually leave the scale factor as a fraction, so we would say that the scale factor is 3/2.

What is a scale factor of a triangle?

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. … The ratios of corresponding sides are 6/3, 8/4, 10/5. These all reduce to 2/1. It is then said that the scale factor of these two similar triangles is 2 : 1.

What is the scale factor of 12?

Architectural ScalesDrawing ScaleScale FactorViewport Scale3/8″ = 1′-0″321/32xp1/2″ = 1′-0″241/24xp3/4″ = 1′-0″161/16xp1″ = 1′-0″121/12xp7 more rows•Aug 12, 2018

Are all circles the same size?

Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!