A bakery offers a small circular cake with a diameter of 8 inches.It also offers a large circular cake with a diameter of 24 inches.Does the top of the large cake have three times the area of that the small cake?if not,how much greater is its area?Explain.
Answers
The difference in area between the large and small cakes is 128π square inches.
How to find the area of a circle?
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:
#SPJ2
radius=4 for small circular cake
radius=12 for large circular cake
Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.
NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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5-4x
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an important thing here is to remember the brackets as you minus something,
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Answers
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First subtract 380 from 800:
That means his next 5 quizzes need to sum up to a total of 420 points. Since you're trying to find the average of his next 5 quizzes in order to average up to an 80, you need to divide 420 by 5(number of remaining quizzes).
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The smaller square is x on every side.
Answers
Big square: side length = x + 3
Small square: side length = x
Area of a square = a² where a represents the side length.
Area of big square = (x+3)²
A = (x+3)(x+3)
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9
Area of small square = x²
Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9
Answers
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You can't be sure without an image.
Step-by-step explanation:
If one moves left or right, that's a horizontal translation.
If one moves up or down, it's a vertical translation.
A dialation is when the image gets smaller or bigger.
g(x)= 2X2-1.
g(w^3)=.......
Answers
the list of complicated-looking expressions printed next to the question
where you copied it from.
g(w^3) = 8w^6 - 12w^4 + 6w^2 - 1
Answer:
g(w^3) = 8w^6 - 12w^4 + 6w^2 - 1 check if this answer right!
Step-by-step explanation: