Answer: The area of shaded section is 491.07 cm²
Step-by-step explanation:
Given: Radius of the circle = 25 cm
Now as shown in figure the shaded region is a quadrant.
Therefore the central angle is 90°
Now as we know
Area of sector is given by
[tex]Area= \pi r^2 \dfrac{\theta}{360^\circ}[/tex] where r is radius and [tex]\theta[/tex] is central angle
So we have
[tex]Area = \dfrac{22}{7} \times (25)^2\times \dfrac{90^\circ}{360^\circ} \\\\\Rightarrow Area= \dfrac{22}{7} \times 625 \times \dfrac{1}{4} \\\\\Rightarrow Area= \dfrac{11}{7} \times 625 \times \dfrac{1}{2} = 491.07cm^2[/tex]
Hence, the area of shaded section is 491.07 cm²
