Krishna
0

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