Determine the area of the sector of a circle that has a central angle of 26 degrees and an area of 46. Refer to the following figure to help calculate the solution.

Step 1: Identify the known or given information.
Step 2: Set up a formula for the sector area
NOTE: A ratio will need to be constructed. Recall that a circle is composed of 360 degrees. Therefore, the following ratio can be made,
\frac{\theta}{360} = \frac{\text{sector area} (A_C)}{\text{Total area} (A_T)}
where, \theta=Central\ angle
Step 3: Plug the sector’s central angle measurement into the formula.
Step 4: Plug the given area measurement into the formula.
EXAMPLE: \frac{26}{360} = \frac{\text{sector area} (A_C)}{\text{46} (A_T)}
Step 5: Solve the area.
EXAMPLE: \frac{\theta}{360}=\frac{Sector\ area\ \left(A_C\right)}{Total\ area\ \left(A_T\right)}
\frac{26}{360} = \frac{\text{sector area} (A_C)}{\text{46} (A_T)}
\frac{26}{360} * 46 = \text{Sector area} (A_C)
sector area = 3.22