Question

Circle help!

Answer 1

Let's first find the circumference:\[C=2*pi* r\]

What would the circumference be?

Answer 2

For which # on the circle?

Answer 3

We have to multiply 2 by pi and by r

R is the radius, but they give us diameter

We could also right it as

\[C = \pi*D\] Where D = Diameter

What's the diameter in this case?

Answer 4

24

Answer 5

Right. Since they want us to keep it in terms of pi, we get 24pi as the circumference.

Now in order to get the arc length, we have to multiply that number by \[ \frac{ \theta }{ 360 }\]
Because there are 360 degrees in a circle.

They want us to find the brown arc, but they only give us the angle of the smaller arc, so we have to do 180-60 to find the brown area

180-60=?

Answer 6

120

Answer 7

Right, giving us that \[\theta=120 \rightarrow \frac{ 120 }{ 360 }\]
So now the last step is to multiply those two numbers we found

\[(\frac{ 120 }{ 360 })(24)\]

Then add the pi on the end

Answer 8

@sbuck98