Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
![A=\pi \times (11)^2\\\\A=380.13\ cm^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Ctimes%20%2811%29%5E2%5C%5C%5C%5CA%3D380.13%5C%20cm%5E2)
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
![A=\pi \times (15)^2\\\\A=706.85\ cm^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Ctimes%20%2815%29%5E2%5C%5C%5C%5CA%3D706.85%5C%20cm%5E2)
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
![A=\pi \times (2)^2\\\\A=12.56\ cm^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Ctimes%20%282%29%5E2%5C%5C%5C%5CA%3D12.56%5C%20cm%5E2)
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
9514 1404 393
Answer:
see below
Step-by-step explanation:
We assume your functions are ...
f(x) = x²
g(x) = (x -4)² +12
_____
You need to be able to recognize that g(x) matches a pattern:
g(x) = f(x-h) +k
where h = 4, and k = 12.
In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.
So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.
First off, the formula for finding the volume of a cylinder is: V=pi × radius² × height
So, because the diameter is 8 inches, to find radius, we just divide by 2 so R=8÷2=4. The radius is 4 inches.
Then because it said that the height is 3 times the radius, 3×4=12. The height is 12 inches.
Now, we can plug in our information and use the formula to find the volume (V=pi × r² × h) :
V= 3.14×4²×12
=3.14×16×12
=608.88 cubic cm ( it can also be written 608.88 cm³)
And there you have the volume. (If this is wrong, then I apologize. I'm pretty sure it's correct tho. If it is wrong, I'll be happy to try to solve it again for you.)
This is your perfect answer