Can’t figure out how to figure out the diameter from the area..... Btw look at the image

Mathematics

1 answer:

julia-pushkina [17]3 years ago

7 0

Answer:

2.26 in

Step-by-step explanation:

Given: the area of the slice is 4 in^2.

The formula for the area of a circle is A = (pi)(r)^2, where r is the radius.

Therefore,

A = 4 in^2 = (pi)(r^2), or

4 in^2

r^2 = ------------ = 1.273

Since the area of the slice is A = (pi)(r^2), and since (d/2)^2 = r^2 = d^2/4

A = (4 in^2) = (pi)(d^2 / 4)

Solving for d^2, we divide both sides by pi/4, obtaining:

4 in^2

---------- = d^2 = 5.093 in^2

pi/4

and so d = √5.093 = 2.26 in (to the nearest 100th)

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