Question

The Miguel traces a circle with the radius of 25 cm like the one shown. He will color the shade section what is the area of the shaded selection.

Answer 1

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

$Area= \pi r^2 \dfrac{\theta}{360^\circ}$  where r is radius and $\theta$ is central angle

So we have

$Area = \dfrac{22}{7} \times (25)^2\times \dfrac{90^\circ}{360^\circ} \\\\\Rightarrow Area= \dfrac{22}{7} \times 625 \times \dfrac{1}{4} \\\\\Rightarrow Area= \dfrac{11}{7} \times 625 \times \dfrac{1}{2} = 491.07cm^2$

Hence, the area of shaded section is 491.07 cm²