All categories

3 years ago

What is the formula of a circle in terms of its circumference A=pir^2 C=2pi*r

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for circumference in terms of a circle’s diameter is C = πd. The diameter is twice the radius (d = 2r). So, replace d with 2r and rewrite the formula for circumference in terms of radius r:

C = 2πr.

Alja [10]3 years ago

5 0

"Formula of a circle" is too vague to be meaningful. Perhaps you meant, "Formula for the area of a circle in terms of its circumference."

The area of a circle in terms of its radius is A = πr^2. To put this formula to use, we have to know the radius of the circle. The circumference of a circle in terms of its radius is C = 2πr, so a formula for the radius is r = C / (2π).

Now let's find a formula for the area of a circle in terms of its circumference:

C C^2

A = πr^2 = π { ---------------- }^2 = ------------

2π 4π

or:

A = (C^2) / 4π

You might be interested in

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

2 years ago

What is the end behavior of the graph?

hichkok12 [17]

Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.

Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity

These two facts point to choice B as the final answer

8 0

2 years ago

PLZ HELP ME. WILL GIVE BRAINLIEST. THANKYOU!!

____ [38]

Answer:

x = 6

Step-by-step explanation:

Given

3x + 30 + x = 10 + 2x + 5x + 2 , simplify both sides

4x + 30 = 7x + 12 ( subtract 7x from both sides )

- 3x + 30 = 12 ( subtract 30 from both sides )

- 3x = - 18 ( divide both sides by - 3 )

x = 6

6 0

2 years ago

Please anawer this question me mark branliest

Crank

The answer is c. Because there are 3 times more blank marbles than white marbles.

6 0

2 years ago

Solve this system of equations.

nata0808 [166]

x = 8, y = 0

y= $\frac{1}{2}$ x-4

y=- $\frac{1}{4}$ x+2

We substitute y= $\frac{1}{2}$ x-4 into the y for y=- $\frac{1}{4}$ x+2, and we get:

$\frac{1}{2}$ x-4 = - $\frac{1}{4}$ x+2

+ $\frac{1}{4}$ x + $\frac{1}{4}$ x

$\frac{3}{4}$ x -4 = 2

+4 +4

$\frac{3}{4}$ x = 6

(4) $\frac{3}{4}$ x = 6 (4)

The 4's cross out and we get:

3x = 24

/3 /3

x=8

Not we substitute x(8) into one of our original equations: y= $\frac{1}{2}$ x-4

y= $\frac{1}{2}$ x-4

y= $\frac{1}{2}$ (8)-4

y=4-4

y-0

We get our final answer: (8,0)

Hope that helps!

3 0

2 years ago

Read 2 more answers

What is the formula of a circle in terms of its circumference A=pi*r^2 C=2*pi*r

What is the formula of a circle in terms of its circumference A=pir^2 C=2pi*r