All categories

2 years ago

The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of π

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

A = 121 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi*r

22 pi = 2 * pi *r

Divide each side by 2 pi

22 pi / (2 pi) = 2 pi r / (2pi)

11 = r

Now find the area

A = pi r^2

A = pi (11)^2

A = 121 pi in^2

You might be interested in

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

The additive inverse of 10 is -17. If 10 + (-17) = 0, then the numbers are additive inverses. True or False?

Vesnalui [34]

Answer:

False

Do not worry I am not giving you any false answers

3 0

2 years ago

a square measuring 9 inches by 9 inches is cut from the corners of a square measuring 15 inches by 15 inches what is the area of

Alexandra [31]

Answer:

Step-by-step explanation:

It would be the area of the big square minus the area of the small square.

6 0

3 years ago

Solve the inequality.−8≤2/5(k−2)<br><br> The / is not a division sign.

Dvinal [7]

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

7 0

3 years ago

Mr.Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary after his raise?

miv72 [106K]

(sorry if this is wrong but hope this helps)

ANSWER: $27.60

STEP BY STEP:

You have to multiply 24 by 15%. Start by changing 15% into a decimal of .15. Then multiply 24 by .15 to get an answer of $3.60. This is how much more Mr. Jimerson will earn. Then add the original amount he earned by the amount the is now gaining. This gets you $27.60.

6 0

3 years ago