The diagram shows a semicircle with centre o o and radius 2 2 and a semicircular arc with diameter p r pr. Angle p o r por is a right angle. What is the area of the shaded region?.

Respuesta :

The area of the shaded region represents the area of a sector

The area of the shaded region is 3.14 square units

How to determine the area of the shaded region

The given parameters are::

[tex]r = 2[/tex] -- the radius

[tex]\theta = 90[/tex] --- the angle of the shaded region

The area is then calculated using:

[tex]A = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]A = \frac{90}{360} * 3.14 * 2^2[/tex]

This gives

[tex]A = 3.14[/tex]

Hence, the area of the shaded region is 3.14 square units

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