Answer:
Option A. 283 cm²
Step-by-step explanation:
to find the area of the shaded sector, we use the formula:
[tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]
where area of the circle = πr²
∴ for the given circle,
[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]
= [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]
= [tex]\frac{100}{360}\times 1017.36[/tex]
= 282.6
≈ 283 cm²
The approximate area of the shaded sector is 283 cm².
