Question

help find the are of a sector

Answer 1

@Phydeaux can u help me with this one im a little lost ? :)

Answer 2

If the area of the sector is x. And we want that shaded area. We can find the area of the triangle and subtract it from x to get the shaded

Answer 3

\[A={bh \over 2}\]Area of triangle

Answer 4

base and height are equal in this case because each side in the radius of the circle

Answer 5

Now knowing all of this. What do you think the answer is?

Answer 6

Well done. I was working through it.

Answer 7

gimmie one min lemme try

Answer 8

Hahaha does the book come in handy?

Answer 9

story of my life up there lmao

Answer 10

That's what we're here for. Come up with an answer?

Answer 11

i dont get how its a triangle ? n yes it does haha

Answer 12

The shaded area creates the hypotenuse of the triangle.

Answer 13

AOB is a triangle because it has 3 sides.

Answer 14

9*9/2?

Answer 15

yes

Answer 16

but that is just one part of it

Answer 17

ok 405 im at obviously

Answer 18

If we have a piece of pizza and somebody said give me the crust. You would have to rip of the triangle part from the whole to get the crust by itself

Answer 19

20.25 pi is the whole. We want to rib off the triangle part to get the answer

Answer 20

rip**

Answer 21

ok so wut would that formula be?

Answer 22

Just think about the big picture.\[\text{total area of sector}-\text{area of \triangle}=\text{shaded area}\]

Answer 23

26 is the perimeter of the triangle...

Answer 24

That doesn't matter. And it's not

Answer 25

What is the total area of the sector?

Answer 26

It's given in the problem

Answer 27

20.25ft

Answer 28

don't forget the pi

Answer 29

20.25pi... dont forget the pi.

Answer 30

now what is the area of the triangle?

Answer 31

20.25(9*9)=1640.25.....

Answer 32

the answer is a ..

Answer 33

You want to do bh/2 for the area of the triangle. so 81/2= 40.5

If you subtract that from the area of the entire sector which was 20.25pi, then you get 20.25pi-40.5.

Answer 34

\[A=(20.25\pi - 40.5)\]

20.25pi being the entire area, 40.5 being the area of the triangle.

Answer 35

yay thanks u guys! lifesavers

Answer 36

No problem :]