Answer:
![10000\pi](https://tex.z-dn.net/?f=10000%5Cpi)
Step-by-step explanation:
The formula for circumference is given by
. Setting this equal to the circumference in the problem, we can find the radius of the sphere:
![2\pi r=100\pi, \\r=\frac{100\pi}{2\pi},\\r=50](https://tex.z-dn.net/?f=2%5Cpi%20r%3D100%5Cpi%2C%20%5C%5Cr%3D%5Cfrac%7B100%5Cpi%7D%7B2%5Cpi%7D%2C%5C%5Cr%3D50)
Now we can use the formula for the surface area of a sphere:
Surface area of a sphere: ![A=4\pi r^2](https://tex.z-dn.net/?f=A%3D4%5Cpi%20r%5E2)
Using
:
![A=4\cdot \pi \cdot 50^2,\\A=4\cdot 2500\cdot \pi,\\A=\boxed{10000\pi}](https://tex.z-dn.net/?f=A%3D4%5Ccdot%20%5Cpi%20%5Ccdot%2050%5E2%2C%5C%5CA%3D4%5Ccdot%202500%5Ccdot%20%5Cpi%2C%5C%5CA%3D%5Cboxed%7B10000%5Cpi%7D)
Answer:
Step-by-step explanation:
the letter y is the number 2
Point slope form
y-y1=m(x-x1)
m=slope
(x1,y1) is a point
(4,-6)
x1=4
y1=-6
m=1
y+6=1(x-4)