Question

the radius of a circle is 4 kilometers. what is the area of a sector bounded by a 180° arc? give the exact answer in simplest form. square kilometers

Explanation:

Step1: Use sector area formula

Área = $\frac{\theta}{360^\circ} \times \pi r^2$

Step2: Substitute values (θ=180°, r=4)

Área = $\frac{180^\circ}{360^\circ} \times \pi \times 4^2 = \frac{1}{2} \times \pi \times 16 = 8\pi$

Answer:

8π