MHB Find the area of sector in a circle in terms of pi. (Geometry)

[Etrujillo]

View attachment 8699

So far i have 270/360× (pi)r^ i don't know what to do next please help.

 

[MarkFL]

I would first reduce:

$$\frac{270^{\circ}}{360^{\circ}}=\frac{3}{4}$$

And so we now have the area \(A\):

$$A=\frac{3}{4}\pi r^2$$

Can you identify the radius \(r\) of the circle from the diagram?

 

[Etrujillo]

The radius i believe is 12m so when i plug in your formula i get 108pi as the answer. Am i correct?

 

[HOI]

Yes, 108\pi is correct.