Answer:
Area of the sector = 31.42 cm²
Step-by-step explanation:
Formula for the area of a sector is,
Area = [tex]\frac{\theta}{2\pi }(\pi r^{2} )[/tex]
Here θ = central angle subtended by the arc (in radians)
r = radius of the circle
Now substitute the values given in the formula,
Area of the sector = [tex]\frac{\frac{4\pi }{5}}{2\pi }\times \pi (5)^2[/tex]
= [tex]\frac{4\pi }{10\pi } \times (25\pi)[/tex]
= [tex]\frac{100}{10}\times \pi[/tex]
= 10π
= 31.416
≈ 31.42 cm²
