Question

Help me please :)

Answer 1

Questions here.

Answer 2

Sorry to let you that this will be my last help as I have to leave soon. Anyway, this question is a bit different from the previous ones.

Answer 3

Its ok and yeah i know lol.

Answer 4

We know that the entire of an ENTIRE circle is \[A = \pi r^{2}\]

Answer 5

Yeah

Answer 6

But what about the area of a slice if a circle, it should be a fraction of the area of an ENTIRE circle.

Answer 7

True but i aint sure..

Answer 8

How do we represent the fraction of the total area, we do it by angles. Since the total angle in a circle is 360 degrees, the area of the slice of a circle is \[A = \frac{ \theta }{ 360^{0} } \times 2 \pi r\]

Answer 9

Oh ok

Answer 10

2*360?

Answer 11

Sorry made a silly mistake, the area should be \[A = \frac{ \theta }{ 360^{0} } \times \pi r^{2}\]

Answer 12

Oh ok lol

Answer 13

I aint sure.

Answer 14

Sure of what?

Answer 15

What the answer is lol.

Answer 16

We will get there.

Answer 17

Ok

Answer 18

So what next?

Answer 19

Theta is the angle in the middle. Can you tell me what theta and r is?

Answer 20

I am not sure what they are.

Answer 21

In your question, what is the radius and the angle in the middle?

Answer 22

The theta ?

Answer 23

Not quite. Look at your question, try to identify the radius and the angle in the middle.

Answer 24

is it 360?

Answer 25

Nope.

Answer 26

7 cm?

Answer 27

YES! that is the radius in your question.

Answer 28

Awesome :)

Answer 29

What next?

Answer 30

We have r now. Theta represents the angle in the middle in a generic way. But in your question, there is an angle in the middle, what is this angle?

Answer 31

An acute angle?

Answer 32

Nope. We don't need to the TYPE of angle. Just the measure. What is the number in the middle of the circle?

Answer 33

i aint sure

Answer 34

It's 100.

Answer 35

Oh duh lol.

Answer 36

100 degrees is the angle in the middle, and 7 cm is the radius.

Answer 37

Oh ok.

Answer 38

So what now sir?

Answer 39

We plug into that formula. Do you now know what theta and r is?

Answer 40

100*7?

Answer 41

=700?

Answer 42

Not like that. All we are doing now is to just identify...
r = ?
theta = ?

Answer 43

ok r=7 and theta is 100?

Answer 44

Yes.

Answer 45

Okay, now look at the formula and place 7 and 100 in the right places. Just like in your room, you put things in the right places. Socks go to the drawers, clothes go to the closet etc.

Answer 46

ok 100 goes in the middle of the room and 7 goes against the wall? lol

Answer 47

Well, look at this \[A = \frac{ (100^{0}) }{ 360^{0} } \times \pi (7^{2})\]

Answer 48

What do you notice?

Answer 49

100 is in the middle and 7 is on the outside.

Answer 50

I replaced theta with 100 and r with 7.

Answer 51

oh ok

Answer 52

Now you can simplify it. Use your calculator.

Answer 53

Ok what do i exactly type into my calculator well i mean how do i set it up and type it into it?

Answer 54

100 times 49 all divided by 360

Answer 55

13.6111111111

Answer 56

Oh I left out pi.

Answer 57

Should be 100 times 49pi all divided by 360

Answer 58

42.7605666739

Answer 59

Yes.

Answer 60

That the answer?

Answer 61

Yes.