Radians, Arc Length, and the Area of a Sector

[gaahinayo]

i know that the formula is A=1/2r^2Theta. but i cant get to the right answer can i get some help here please.

 

[Deleted member 4993]

View attachment 28716 i know that the formula is A=1/2r^2Theta. but i cant get to the right answer can i get some help here please.

You have the correct formula.

A = 1/2 * r² * Θ

Please share your work showing how you had used the formula to calculate the radius of the circle.

 

[Steven G]

Since A = 1/2*r²*Θ, you need to solve for r. 2A/Θ = r². Solve this equation for r and plug in the given information.

 

[Harry_the_cat]

View attachment 28716 i know that the formula is A=1/2r^2Theta. but i cant get to the right answer can i get some help here please.

\(\displaystyle A = \frac{1}{2} * r^2 * \theta\)

So

\(\displaystyle \frac{5\pi}{27} =\frac{1}{2} * r^2 * \frac{5\pi}{6}\)

Now, solve for \(\displaystyle r^2\) and then \(\displaystyle r\).