Answer:
Area of the sector = [tex]\frac{\pi }{8}[/tex] cm²
Step-by-step explanation:
Measure of the given arc = 45°
Central angle formed by the arc = 45°
Formula to be used,
Area of the sector bounded by the arc = [tex]\frac{\text{Central angle}}{360}\times \pi r^{2}[/tex]
Here, r = radius of the circle
Area of the sector = [tex]\frac{45}{360}(\pi)(1)^2[/tex]
= [tex]\frac{\pi }{8}[/tex] cm²
