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lesya692 [45]
3 years ago
14

What will be the circumference of a circle if the area is 64cm​

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Given that area of circle is 64cm we can assume we will need to first find radius and then calculate circumference.

First we know that area of a circle is A=\pi r^2 hence r=\sqrt{\dfrac{A}{\pi}}

We can now put in our area,

r=\sqrt{\dfrac{64}{\pi}}\approx20.37

Then we use the formula for circumference,

C=2\pi r\Longrightarrow C=2\pi\cdot20.37\approx\boxed{128\mathbf{cm}}

Hope this helps.

<u>r3t40</u>

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elena-14-01-66 [18.8K]

Answer:

-4^{4}

Step-by-step explanation:

Reduce the expression -4^2×4^2

Calcualte the product and you get -4^4

If you want the alternative form is will be -256

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6 0
3 years ago
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just olya [345]

Answer:

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4 0
3 years ago
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
Louie is trying to find a rectangular canvas for his art project. Its height
Maru [420]

The length of the diagonal of the canvas is approximately 27 degrees.

The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.

<h3>Length of the diagonal Canvas</h3>

Therefore, the length of the diagonal can be found as follows:

Using trigonometric ratio,

  • cos ∅ = adjacent / hypotenuse

where

∅ = 48°

adjacent side = Height of the rectangle = 18 inches

hypotenuse = Length of the diagonal

Therefore,

cos 48° = 18 / h

cross multiply

h = 18 / cos 48°

h = 18 / 0.66913060635

h = 26.9005778976

length of the diagonal ≈ 27 inches

learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults

8 0
3 years ago
What is the solution set of x2 + y2 = 26 and x − y = 6?
Viefleur [7K]
It works out that: y = 1 or 5 and therefore x = 5 or 1
4 0
4 years ago
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