## Activity 5.1 Calculating Properties of Shapes

Introduction

If you were given the responsibility of painting a room, how would you know how much paint to purchase for the job? If you were told to purchase enough carpet to cover all the bedroom floors in your home, how would you communicate the amount of carpet needed to the salesperson? If you had to place an order for new shingles for the roof of your home, how would you determine the number of shingles needed?Aside from the fact that each of these questions deals with home improvement issues, they all center on the concept of area.Area describes the measure of a two-dimensional surface. One example of how area is used in engineering is the calculation of stress that develops in an object that is subjected to an external load. If you have ever stretched a rubber band to the point that it breaks, then you have applied an external load to an object that has a constant cross-sectional area. In doing so, you caused stress to build up inside the rubber band until it broke. Another example of how area is used in engineering is the calculation of beam deflection. If you have ever walked across a fallen tree in an effort to cross a creek, then you have experienced the concept of deflection. If the tree had a small diameter, then the amount of deflection would be significant and noticeable. If the tree had a large trunk, then the amount of deflection was probably too small to feel or notice

Conclusion

1. What is the difference between a circle and an ellipse?

A circle is a 2-D shape and a ellipse is 3- D

2. What is the difference between an inscribed and a circumscribed shape?

Inscribed is inside the circle and circumscribed is outside the circle

3. Why is it impossible for a triangle to contain a 180° angle?

Because it isn't a whole 360 and because it contains 3 sides

4. How is a rhombus similar to a square?

A rhombus is similar to a square because it has 4 sides and can be rotated to be a rhombus

5. What is the difference between a right, acute, and obtuse triangle?

The difference between right , acute and obtuse is there angle degrees right is 90, acute is anything less than 90 and obtuse is anything more than 90 and 180

1. What is the difference between a circle and an ellipse?

A circle is a 2-D shape and a ellipse is 3- D

2. What is the difference between an inscribed and a circumscribed shape?

Inscribed is inside the circle and circumscribed is outside the circle

3. Why is it impossible for a triangle to contain a 180° angle?

Because it isn't a whole 360 and because it contains 3 sides

4. How is a rhombus similar to a square?

A rhombus is similar to a square because it has 4 sides and can be rotated to be a rhombus

5. What is the difference between a right, acute, and obtuse triangle?

The difference between right , acute and obtuse is there angle degrees right is 90, acute is anything less than 90 and obtuse is anything more than 90 and 180