Activity 5.1 Calculating Properties 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.
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 the strongest structural shape and is also drawn to where the points on it are of equal distance from the center point.
2. What is the difference between an inscribed and a circumscribed shape? An inscribed shape is drawn inside a circle while a circumscribed shape is drawn around a circle.
3. Why is it impossible for a triangle to contain a 180° angle? Triangles cannot contain 180 degree angles because they are composed of only 180 degrees and the lines used to form a triangle will spit 180 degrees up, even if it is only by a small portion.
4. How is a rhombus similar to a square? A rhombus is similar to a square because it has to pairs of parallel lines and all angles add up to 360 degrees.
5. What is the difference between a right, acute, and obtuse triangle? A right triangle consists of one right angle, an acute triangle has angles that are all less than 90 degrees, and an obtuse triangle has one angle that is greater than 90 degrees.
1. What is the difference between a circle and an ellipse? A circle is the strongest structural shape and is also drawn to where the points on it are of equal distance from the center point.
2. What is the difference between an inscribed and a circumscribed shape? An inscribed shape is drawn inside a circle while a circumscribed shape is drawn around a circle.
3. Why is it impossible for a triangle to contain a 180° angle? Triangles cannot contain 180 degree angles because they are composed of only 180 degrees and the lines used to form a triangle will spit 180 degrees up, even if it is only by a small portion.
4. How is a rhombus similar to a square? A rhombus is similar to a square because it has to pairs of parallel lines and all angles add up to 360 degrees.
5. What is the difference between a right, acute, and obtuse triangle? A right triangle consists of one right angle, an acute triangle has angles that are all less than 90 degrees, and an obtuse triangle has one angle that is greater than 90 degrees.