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3 years ago

A circular plate has circumference 24.5 inches. what is the area of this plate? use 3.14 for pi.

Mathematics

2 answers:

lbvjy [14]3 years ago

5 0

Answer:

The area of the plate is 47.78

Step-by-step explanation:

Alex3 years ago

4 0

Given:

Circumference of a circular plate = 24.5 inches.

To FInd:

Area of the circular plate

Solution:

By the formula of circumference

Circumference of a circular plate = 2πr

Where 'r' = radius of the plate

24.5 = 2 $\pi r$

r = $\frac{24.5}{3.14 * 2}$ [Since π = 3.14]

r = 3.90 inches

We know the formula of a circular plate is,

Area = πr²

Therefore, A = (3.14)(3.90)²

A = 47.79 square inches

Therefore, area of the circular plate is 47.79 inches.

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Step-by-step explanation:

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Now, find a greatest common divisor. In this case, the greatest common divisor is 8.

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3 years ago

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2 years ago

What is 14/52 as a decimal

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An open box with a square base is constructed so that it has a volume of 64in^3. The base needs to be made out of a material tha

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<h3>How to determine the dimensions that minimize the cost</h3>

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

$V = x^2y$

The volume is given as 64 cubic inches.

So, we have:

$x^2y = 64$

Make y the subject

$y = \frac{64}{x^2}$

The surface area of the box is calculated as:

$A =x^2 + 4xy$

The cost is:

$C = 2x^2 + 4xy$ --- the base is twice as expensive as the sides

Substitute $y = \frac{64}{x^2}$

$C = 2x^2 + 4x * \frac{64}{x^2}$

$C =2x^2 + \frac{256}{x}$

Differentiate

$C' =4x - \frac{256}{x^2}$

Set to 0

$4x - \frac{256}{x^2} = 0$

Multiply through by x^2

$4x^3 - 256= 0$

Divide through by 4

$x^3 - 64= 0$

Add 64 to both sides

$x^3 = 64$

Take the cube roots of both sides

$x = 4$

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$y = \frac{64}{x^2}$

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$y = \frac{64}{4^2}$

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