Questions :
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.
Answer:
12π
53.68 in
96.624g
Explanation:
The total length of the circular portion :
Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2
Size of each circle is 3/4
Number of circles = 4
Number of complete circles :
4 × 3/4 = 3 complete circles
Perimeter of circle:
Number of circles * (2πr)
3 * 2 * π * 2 = 12π
Total wore needed :
Circular + Square
Perimeter of square = 4s
s=side length = 4
Total square 4 * 4 = 16
Perimeter of Square + perimeter of circle
16 + 12π = 16 + (12 * 3.14) = 53.68 in
Total weight of ornament :
1.8 g * perimeter
1.8 * 53.68 = 96.624g