Ms. Lawrence baked exactly 1 inch diameter cookies as shown below, how

much space left on cookie tray, if the tray's dimensions are 7 inches by 3

inches?

Exactly 26 cookies fit and there would be 0.75 of cookie space left over.

Step-by-step explanation:

In this case, we must calculate the area of a cookie and the total area of the cookie tray,

give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:

r = d / 2 = 1/2

the area would be:

A = pi * r ^ 2

replacing:

A = 3.14 * (1/2) ^ 2

A = 0.785

The area for each cookie is 0.785 in ^ 2

Now the area of the cookie tray would be:

A = 7 * 3

A = 21 in ^ 2

Therefore a total of:

21 / 0.785 = 26.75

Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.