Adding and Subtracting Areas
Read this topicExplanations 2
- Finding areas of complex shapes can be daunting at times. Many times people try to formulate strange and unnecessarily complicated formulas for these areas. Instead of making up…
By Oshadha Gunasekara
- Adding and subtracting areas can be very hard in some cases. For example, if you have a sphere inscribed in a octrahedron, how can you find the volume which is part of the octah…
By Jerry Huang
Problems 10
- What is the area of the white shape?
- A 3-D printer builds a solid of unit height, inscribed in a unit cube, as follows. At height position z∈[0,1]z\in [0,1]z∈[0,1], the cross section of the solid is a Y-shape (with…
- What is the area of the grey section in the figure above?
- If the diameter of the above circle is 121212, what is the area of the shaded region? Round to the nearest hundredth.
- Four circles of diameter x2\frac{x}{2}2x are enclosed within a square with side length xxx. One of the square's diagonals is pictured. What is the area of the shaded part of th…
- Two circles of diameter x are enclosed within a rectangle with dimensions x and 2x. One of the rectangle's diagonals is pictured. What is the area of the shaded part of the diag…
- The designers of the above pool are creating a similar pool for another hotel. If the area of the entire space is 750m2750 m^{2}750m2 and each of the 4 islands has a radius of 5…
- Sheridan and his roommates threw a party and ordered multiple pizzas for the event. The morning after, Sheridan checks the refrigerator for the leftovers. The table above repres…
- Candice sells art and decor online, including wooden letters and signs. She wants to know how she would find the amount of wasted materials. Look at the figure above, which choi…
- The owner of this home wants to carpet the appropriate room. If the area for each room is as below, what would be the price to carpet the right rooms if the handyman charged 150…