All categories

3 years ago

The area of a circle is 144π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

Answer:

24π inches

Step-by-step explanation:

Area = π × r²

144π = π × r²

r² = 144

r = 12

Circumference = 2 π × r

= 2 × π × 12

= 24π in

You might be interested in

18 is 240% of what? basic percent equation ...?

pshichka [43]

18 = (240/100) x what;
what = 18 x (100/240);
what = 1800/240;
what = 7.5;

6 0

3 years ago

Read 2 more answers

The data shown are hourly wages of some employees of a small company. $5, $7, $8, $10, $24, $40 Which values, if any, are outlie

igor_vitrenko [27]

correct answer is "NONE" NOT $40. hOPE THIS HELPS!

3 0

3 years ago

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

A foreign country uses the stellar as its currency. Before a trip to that country, Jon wants to exchange $1,500 to stellars. W

JulsSmile [24]

Answer:

Bank A will exchange it

Step-by-step example

8 0

3 years ago

If sin (x-3)° = cos (2x + 6)°, then what is the value of x?

Travka [436]

Answer:

if sin (x-3) degrees = cos (2x+6) degrees, find the value of x.

----------

Note: sin and cos are complementary functions....

sin(x) = cos (90-x)

-------------------

Your Problem:

sin(x-3) = cos(90-(x-3))

Equation:

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29

Step-by-step explanation:

6 0

3 years ago