MATHS

For maths, we are assigned to calculate the total surface area and volume of the object we constructed below. The following desciption show some of the mathematical theories I applied in this assignment.

1. Basic trigonometric function

The first theory that I applied is one of the basic trigonometric functions:

I applied this theory to get the angle of the sector. The angle of sector is needed to determine the area of figure A.

The calculation is as shown below:

We need the full angle of the sector, hence we need to multiply x. So x=70 degree.

Now that we have found the inner triangle's angle, we need to find the outer sector's angle.

2. Area of sector

Now, we can determine the area of the outer sector by using the formula below.

We need to determine area of Figure A, so we have to multiply the number we got by 2. 77 x 2= 154. This is not the final answer of the area yet. We still have to apply another theory in order to get the final answer.

3. Area of triangle

Now, we have to determine the area of the triangle within the semicircle. I used the formula below to calculate it.

We still have to multiply the answer by 2 because this is just one side of Figure A. So, 14 x 2= 28. Hence, the area of Figure A is 158 + 28 =182

I really think that this assignment is quite challenging. I have always been weak in Maths ever since high school. I struggled a lot during SPM. I never thought that I had to take this subject again in university. Nevertheless, I believe this assignment is useful when it comes to architecture. We might build or renovate buildings in weird shapes in the future. So this is sort of like a trial for us to learn calculating such complex shapes.