1. Pizza
A pizza is a circle and the area of a circle increases with the square of the radius.
A= pi r^2
you have 10pi inches in small pizza and the area is 100pi
20 pi inches in larger pizza and area is 400pi
So the area larger pizza is 5 times the area small pizza.
2. problem 5
1. Scale Up (smaller to larger)= larger figure measurement / small figure measurement.
scale up = 16/8 = 2.
the scale factor is 2.
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
2. the area of original = 1/2 bh= 1//2 x 8 x 6 = 24
3. the area of enlarged = 24 x 2= 48.
4. Yes. To enlarge a triangle with sloping sides, it is easiest to enlarge the base and the height. The base is 2 squares long and the height is 3 squares long. Multiply these lengths by the scale factor of 2 to find the enlarged shape.
**Polygon
explain: The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.
use the figure below and you find the polygon.
***Map
you see the video link below
https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-map-distance-example
scale drawing see video below
https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-drawing-definition
