Question

FINAL IN THE MORNING: the great circle of the sphere has a circumference of 24 (pic soon to be drawn in comments) what is the surface area

Answer 1

@FutureMathProfessor

Answer 2

help me please @FutureMathProfessor

Answer 3

@Goldpheonix

Answer 4

Isn't this the same problem we helped you on earlier?

Answer 5

yes I don't know how but it got deleted

Answer 6

are you going to help me? @FutureMathProfessor

Answer 7

Ok so you have to find R from the equation of circumfrence and then plug that into the equation of surface area to find the surface area

Answer 8

how do I find r

Answer 9

@oldrin.bataku are you good at these

Answer 10

@FutureMathProfessor excuse me..

Answer 11

@mathstudent55 can you please help me

Answer 12

If the great circle has a circumference of \(24\), can you find its radius? This is also the radius of our sphere.

Answer 13

so 24 is the radius

Answer 14

no

Answer 15

how do I find the radius

Answer 16

\(C=2\pi r\) relates the circumference to the radius. If our circumference is \(24\), we have \(24=2\pi r\). Can you solve for \(r\)?

Answer 17

ok so the circumference is 24 so would the radius be 12

Answer 18

no

Answer 19

not to be rude, but im going to need a way better answer than "no" @FutureMathProfessor

Answer 20

You need to manipulate the circumfrence equation to solve for R.

Answer 21

but im on here because I don't know how to do that...and your not telling me how to set it up @FutureMathProfessor

Answer 22

@oldrin.bataku how d I find r

Answer 23

@.Sam. any ideas?

Answer 24

$$24=2\pi r\\12=\pi r\text{ after dividing both sides by }2\\\frac{12}\pi=r\text{ after dividing both sides by }\pi$$Now that we hav e \(r\), our surface area is given by \(A=4\pi r^2\).

Answer 25

ok I still don't see the radius..

Answer 26

\[A=4\Pi(\frac{ 12 }{ \Pi })^{2}\]

Answer 27

still not seeing how I would get the radius

Answer 28

any ideas @Tigger25

Answer 29

Listed below is the equation for the circumference of a circle:\[C=2(\Pi)R\]
Since we know C, we can plug it in and solve for R.
\[24=2(\Pi)R\]
Let's manipulate the equation to solve for R.\[R=\frac{ 24 }{ 2*\Pi }\]
Use that to find R, then we will plug R into our Sphere Surface Area Equation, listed below:\[SA=4(\Pi)R^2\]
Since we have our R now, we can just plug that into our new equation to find SA (Surface Area) and then we will have our answer!

Answer 30

The radius is \[12/ \pi\] or 3.82
Then you substitute that in to the SA formula
\[4 \pi r^2\]
\[4\pi (3.82)^2\]
and get 183.35

Answer 31

@ anyone else
please tell me if I made a mistake ^^

Answer 32

I got two different answers and two different calculators...the format looks correct but im still not getting the answer

Answer 33

mt teacher came out wit 576pie

Answer 34

@Tigger25 ^

Answer 35

oh wow all this time the radius was 12 lol @FutureMathProfessor I got the answer

Answer 36

The radius is not 12!

Answer 37

Can I have a medal? :D

Answer 38

the radius was 12 that's how I got the CORRECT answer my teacher gave us..

Answer 39

what are themedals for though do yal get paid to answer questions?

Answer 40

The radius is 12/pi.............