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

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 (\theta)/(360^\circ)` where r is radius and
`\theta` is central angle

So we have

`Area = (22)/(7) * (25)^2* (90^\circ)/(360^\circ) \\\\\Rightarrow Area= (22)/(7) * 625 * (1)/(4) \\\\\Rightarrow Area= (11)/(7) * 625 * (1)/(2) = 491.07cm^2`

Hence, the area of shaded section is 491.07 cm²