PLS ANSWER(25 POINTS)

Circle A has a diameter of approximately 20 inches and an area of approximately 300 in². Circle B has a diameter of approximately 60 inches. Which of these could be the area of Circle B?

Respuesta :

Answer:

2827.433388

Step-by-step explanation:

divide the diameter(60) by 2 to get it to the radius (30)

then plug it in to the equation that finds area using radius

a= area

π= pi (3.14 or 2nd " ^ " on a ti-84 calculator)

r= radius

a=π30^2

a=π900

a=2827.433388

If circle B has a diameter of approximately 60 inches, then the area of circle B is 2827.8 square inches

Basically, what we are concerned with in this question is circle B

Let d represent the diameter of circle B

d = 60 inches

The area of a circle in terms of the diameter is given by the formula

[tex] area \: = \frac{\pi {d}^{2} }{4} [/tex]

Substitute the value of the diameter into the equation above

That is d = 60 inches

[tex]area \: = \frac{\pi {60}^{2} }{4} [/tex]

Area = (3600π)/4

This can be further simplified as:

Area = 900π

Substitute π = 3.142 into the above expression

Area = 2827.8 square inches

Therefore, the area of circle B is 2827.8 square inches

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