All categories

2 years ago

A circle has an area of 324 pi feet squared. what is the circumference?

2 answers:

8 0

The area of a circle is pi*r^2 so 324/pi is 103 if you take the square root of that it is 10.15. so you would use the circumference formula now, which is 2 pi r so 2*pi*10.15= 63.77

ZanzabumX [31]2 years ago

8 0

Answer:

Circumference of circle is 36π feet.

Step-by-step explanation:

Given : area of circle is 324π feet²

We have to find the circumference of the given circle.

Consider Area of circle is 324π feet²

We know, Area of circle = $\pi r^2$

Thus, $324\pi=\pi r^2$

Simplify for r , we have,

$324=r^2$

Taking square root both side, we have,

$r=\sqrt{324}=18$

Circumference of circle is given by $2\pi r$

Substitute, we get,

$C=2\pi r$

$C=2\pi (18)=36\pi$

Thus, Circumference of circle is 36π feet.

You might be interested in

PLEASE HELP!! URGENT!!!! UNIT TEST!!!!

slavikrds [6]

ANSWER

$y=-\frac{4}{3}x+\frac{16}{3}$

$3y+4x=16$

EXPLANATION

Let us find the gradient of the line:

$-3x+4y=4$ by rewriting it in the slope intercept form.

$\Rightarrow 4y=3x+4$

We divide through by 4 now;

$\Rightarrow y=\frac{3}{4}x+1$

This is now in the form;

$y=mx+c$

where

$m=\frac{3}{4}$ is he slope.

This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of $m=\frac{3}{4}$ .

Thus the perpendicular line has slope,

$m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}$ .

Let the perpendicular line have equation,

$y=mx+c$

When we substitute the slope we have;

$y=-\frac{4}{3}x+c$

We substitute the point. $(4,0)$ to find c.

$0=-\frac{4}{3}(4)+c$

$0=-\frac{16}{3}+c$

$\frac{16}{3}=c$

We substitute c to obtain;

$y=-\frac{4}{3}x+\frac{16}{3}$

$3y+4x=16$

7 0

3 years ago

Read 2 more answers

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454

Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0

2 years ago

A square has a diagonal length of 5 cm. The area of the squareiscm2. Round answer to the nearest tenths ifneeded.

Whitepunk [10]

$\begin{gathered} \text{Diagonal}=5\operatorname{cm} \\ \text{Area}=\frac{D^2}{2} \\ \\ \text{Area}=\frac{(5cm)^2}{2} \\ \\ \text{Area}=\frac{25\operatorname{cm}^2}{2} \\ \\ \text{Area}=12.5\operatorname{cm}^2 \\ \text{The area of the square is 12.5 cm }^2 \end{gathered}$

6 0

6 months ago

A car’s original price was $26,500. Mr. Thomas paid $18,815. What percent discount did Mr. Thomas receive on the car?

Grace [21]

B. He received 29% discount on the car.<span />

6 0

2 years ago

Read 2 more answers

stiv31 [10]

Answer:

Step-by-step explanation:

Hello There!

The y value of ABC was subtracted by 7 to get to the figure A'B'C'

So the rule for the given transformation would be

(x,y) ---> (x,y-7)

5 0

2 years ago