Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
Answer:
7/12=0.583333333333
Step-by-step explanation:
I am guessing you want to round to the tenths, because nothing comes after the hundredths. So it would be 0.9. (But it would stay the same if you are rounding to the hundredths.)
This is your answer.... all you are doing is substituting what ever the variable is
.09:
"of" means that you have to multiply.
1/10 is equal to .1
If you multiply 0.1 by 0.9 you will get .09
