The difference in area between the large and small cakes is 128π square inches.
Suppose the circle has radius of 'r' units, then, its area is given as:
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
We are given that;
A bakery offers a small circular cake with a diameter =8 inches
A large circular cake with a diameter = 24 inches
Now,
For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.
For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.
To compare the areas, you can divide them by each other:
(144π)/(16π) = 9
This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.
144π - 16π = 128π square inches.
Therefore, by the area of a circle the answer will be 128π square inches.
Learn more about area of a circle here:
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The value of the expression will be 16. Then the one way that you could read the expression by sixteen.
When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ 0.50 x (24 + 8)
Simplify the expression, then the value of the expression will be
⇒ 0.50 x (24 + 8)
Apply the distribution property, then the expression is written as,
⇒ 0.50 x 24 + 0.50 x 8
Apply the multiplication property, then the expression can be written as,
⇒ 12 + 4
Apply the addition property, then the expression will be given as,
⇒ 16
The value of the expression will be 16. Then the one way that you could read the expression by sixteen.
More about the value of the expression link is given below.
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Answer:
64
hope it helps you..
Step-by-step explanation:
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Answer:
Conclusion: ◇WAU ≅ ◇JAU
Reason: ASA theorem
Step-by-step explanation: