Question

What is the approximate area of the shaded sector in the circle shown below

Answer 1

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 $\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}$

where area of the circle = πr²

∴ for the given circle,

$\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2$

                            =  $\frac{100}{360}\times 3.14\times 18\times 18$

                            = $\frac{100}{360}\times 1017.36$

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².