Question

does someones know how to solve these? (geometry)

Answer 1

Remember the area of a sector= 1/2 ( radius x length of arc)

Answer 2

Or in your problem you would use
Area of sector= (arc measure/360) x pi(r^2)

Answer 3

whats the number for the arc

Answer 4

So do you know what the radius is?
And the measure of the arc containing point E?

Answer 5

10?

Answer 6

To find the measure of the arc, you must know what kind of angle AGB is

Answer 7

i dont know the measure of the arc containg point E

Answer 8

???

Answer 9

Hint: it's a central angle

Answer 10

If its a central angle, what do you know about the intercepted arc?

Answer 11

i dont know...

Answer 12

It would be the same.
The intercepted arc of a central angle has the same measure of that angle

Answer 13

is it like a part of the circle between the intersection

Answer 14

oh ok

Answer 15

I'm not sure what you mean by intersection
But
The measure of that arc would be 72

Answer 16

so 72/360 x π10^2=62.8... did i do that right?

Answer 17

would 62.8 be my final answer?

Answer 18

how would i solve this...sorry i dont feel that ready solving problem like these

Answer 19

@nikato

Answer 20

Yes. 62.8 is correct

Answer 21

how do i solve the second attachment?

Answer 22

First draw in DG, GF, and GE

Answer 23

ok

Answer 24

And now you have 6 right triangles, right?

Answer 25

right

Answer 26

What do you know triangle DGC and FGC?

Answer 27

DGC and FGC are the same right?

Answer 28

You mean congruent.
And if that's true, what do you about sides DC and CF

Answer 29

that they are the same length?

Answer 30

Correct. So if DC=21 , then what's CF?

Answer 31

21

Answer 32

Yes. So CB=?

Answer 33

21*2=42

Answer 34

No. It's CF+FB.
So
21+20=41
So
CB=41

Answer 35

oh

Answer 36

so 41 is teh final answer?

Answer 37

Can you do the same with triangle FGB and EGB to find side EB?

Answer 38

And no, 41 is just the length of one of the sides

Answer 39

wouldnt it be the same number?

Answer 40

No. It wouldn't

Answer 41

oh

Answer 42

42

Answer 43

Yup. So can you do that whole process again to find EB

Answer 44

Wait, how did you get 42

Answer 45

22

Answer 46

Wait, 22 for what?

Answer 47

sorry, my computer keeps freezing and it takes forever for my answer to show up so just ignore 22 and 42

Answer 48

how do i find EB

Answer 49

EB=20?

Answer 50

It's fine. And yes EB=20.
So now what's AE?

Answer 51

AE=32

Answer 52

And doing the same thing as before, what's AD?

Answer 53

AD=31?

Answer 54

You mean 32.
And what's AC?

Answer 55

oh yes! and 32+21=53 AC=53

Answer 56

so then 52+53+41=146 the answer?

Answer 57

Correct!

Answer 58

yes! now i get how to solve these problems! thank you thankyou!

Answer 59

No problem. And doin more problem will surely help