Question

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.

Answer 1

@SuicidalSheep32 what are the formulas for area and circumference of a circle?

Answer 2

The area of a circle is Pi*r^2
Circumference is 2*Pi*r

Answer 3

Okay, great. Are you also able to recall the formula for determining the radius of a circle when given its diameter? @SuicidalSheep32

Answer 4

The radius is just half of the diameter.

Answer 5

Very good, so in this case, what would be the radius of the circle?

Answer 6

5

Answer 7

Bingo. So at this point, it seems to me that you have all the tools you need to find the circumference and area of the circle. Have you already computed these values? If so, please share.

Answer 8

the area is 78.54
circumference is 31.42

Answer 9

But it says to "Leave your answers in terms of pi".

Answer 10

so Pi 10 and how would I do the other one 20 pi?

Answer 11

area first then circumference

Answer 12

Whatever the answers are, always remember to include units. When you post your answers you should do as you did before: The area of the circle is ..... ; The circumference of the circle is ...

Answer 13

And remember to use the correct formulas for each computation.

Answer 14

I forgot to put the answers but none of them ate what I got

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.
C = 5π; A = 20π
C = 10π; A = 20π
C = 10π; A = 25π
C = 5π; A = 25π

Answer 15

are*

Answer 16

You already posted the formulas above, but I'll post them again:

The area, A, of a circle with radius , r, can be found by \(A = \pi r^2\)
The circumference of a circle, C, can be found by \(C = 2 \pi r\)
We know that the radius is 5 inches, which means \(r = 5\) so all we have to do is plug that value in to each formula: \[A = \pi (5)^2\]\[C = 2 \pi (5)\] If we simplify each of the expressions for \(A\) and \(C\) what values do we end up with?

Answer 17

A=π 10
and for C i am not sure I think it is 20

Answer 18

Can you explain why you think \(5^2\) means the same thing as \(5 + 5\) ?

Answer 19

Then explain how you got \(20\) after multiplying \(2 \times 5\)

Answer 20

wow like 4th-grade stuff and i am screwing it up it is 25

Answer 21

Yes correct. Now what is the area of the circle @SuicidalSheep32 ?

Answer 22

78.5

Answer 23

Once again "Leave your answers in terms of pi"

Answer 24

A= 25 π

Answer 25

Finally! But remember to include the UNITS

Answer 26

What units? what do you mean?

Answer 27

Area is always expressed in square units. Units being the unit of measure which in this case is inches.

Answer 28

Thank you @hero you are the best!

Answer 29

But you haven't even confirmed your answers @SuicidalSheep32

Answer 30

It is C = 10π INCHES; A = 25π INCHES

Answer 31

Correct.

Answer 32

Ok thank you hero