Question

Can you please help me

Answer 1

Area of Sector.

The area of a sector is given by the formula below:

`\begin{gathered} \text{Area =}(\theta)/(360)*\pi r^2 \\ \text{where }\theta=148\text{ ; r=6m ; }\pi=(22)/(7) \end{gathered}`

Substituting these values into the formula above, we get

`\begin{gathered} \text{Area of the shaded sector = }(148)/(360)*(22)/(7)*6^2 \\ \text{ } \\ \text{ = }(148*22)/(70)\text{ = }46.514\text{ }\approx46.5m^2 \end{gathered}`

Thus, the correct answer is 46.5 square meters.