Respuesta :

ugmalani

Answer: B

Step-by-step explanation:

The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:

3.6/2 = 1.8

Now, you can plug the radius, 1.8, into the equation pi*radius^2 ([tex]\pi r^{2}[/tex]):

[tex]\pi (1.8)^2 = \pi(3.24)[/tex] = about 10.18

Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.

10.18/2 = 5.09

The area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

The diameter of the circle = 3.6 cm

The radius of the circle = 3.6/2 = 1.8 cm

Area of shaded region = (180/360)π(1.8)²

Area of the shaded region = 5.089 ≈ 5.09 square cm

Thus, the area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

Learn more about circle here:

brainly.com/question/11833983

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