Answer:
Step-by-step explanation:
1) Circumference of cake = 25 1/7 inches
[tex]2\pi r = \frac{176}{7}\\\\ 2*\frac{22}{7}*r=\frac{176}{7}\\\\r=\frac{176*7}{7*2*22}\\\\[/tex]
r = 4 inches
Area of cake = πr²
[tex]=\frac{22}{7}*4*4\\\\[/tex]
= 50.2857
= 50.29 in²
2) Area of square = side *side = 5 * 5 = 25 ft²
Diameter of semicircle = 5 ft
radius = 5/2 = 2.5 ft
Area of two semi circles = 2 * (1/2) πr² = πr²
= 3.14 * 2.5 *2.5
= 19.625
= 19.63 ft²
Area of the part of logo that still is green = 25 - 19.63
= 5.37 ft²
