Answer:
Diameter = 14 inches
Explanation:
The square inches indicates that we're working with area so essentially the area of the circular cookie cake is 153.86 square inches.
The formula for the area of a circle is given by:
A = πr^2, where
- A is the area in square units,
- and r is the radius of the circle.
Determine r, the radius of the circular cookie cake:
The radius is simply 1/2 the diameter, d.
Thus, we can find the radius and double it to find the diameter.
To find the radius, r, we can plug in 153.86 for A and 3.14 for π:
Step 1: Plug in 153.86 for A and 3.14 for π in the area formula and simplify (if possible):
153.86 = 3.14r^2
Step 2: Divide both sides by 3.14:
(153.86 = 3.14r^2) / 3.14
153.86/3.14 = r^2
49 = r^2
Step 3: Take the square root of both sides to find r, the radius of the circular cookie cake:
√(49) = √(r^2)
7 = r
Thus, the radius of the circular cookie cake is 7 inches.
Double the radius, r, to find the diameter, d, of the cookie cake:
7 * 2 = 14
Thus, the diameter of the circular cookie cake is 14 inches.