Question

I'll be attaching a picture of my question, please check it out :) (I only have to solve part a)

Sorry for the many questions, I wanna get a perfect score on my assignment.

Answer 1

One word: Yikes :D
This is tedious, I hope you're ready for some data overload (Not sure if it will be to you, but for me, it sure looks like a lot :) )

Up for it?

Answer 2

I am up for anything! I really need to understand the concept at well! :o

Answer 3

"Shaded region" is the reddish part, I assume?
Ok, if you don't mind, I'd rather do (b) first, the perimeter?
It seems simpler :D

Answer 4

*as

Answer 5

I only need to solve part a though.

Answer 6

would finding the perimeter help finding part a?

Answer 7

Crud
I really need to learn how to read :D
Sorry.

Let's get to part a then :D

Answer 8

Area of that reddish region, is equal to the area of the circular sector (that thing that looks roughly like a slice of pizza) minus the area of that triangle (the unshaded part of the slice of pizza)

Answer 9

Right.

Answer 10

okay so area of the sector is =
1/2 *r^2 *angle

in this case 1/2 * 10^2 * 72pie/180 = 20 pie

now area of triangle = 1/2 ab sin theta

1/2 *10*10*sin 72=12.691

shaded area is = 20 pie - 12.691=50.14

Answer 11

1/2 *10*10*sin 72=12.691 How is that? I tried it & I'm getting something else.

Answer 12

Make sure your calculator is not in radians...
remember, 72 is in DEGREE measure

Answer 13

perimeter now

arc length s=r theta ( in radians) like in the previous step 72pie/180

10*72pie/180= 4pie

use cosine rule

C^2-A^2-B^2/-2AB= Cos Theta

C is unknown and theta is 72

C^2-200/-200 = .309

C^2-200=-61.803

C^2=138.197

C=11.76

perimeter = 11.76 + 4pie

Answer 14

it is in degrees! hmm

Answer 15

Oh I didn't need to do the perimeter :) but thanks for showing me!

Answer 16

sorry i calculated the area of triangle with my cal in radians!

Answer 17

I realised...
Hey
@hashsam1
1/2 *10*10*sin 72=12.691
only if 72 is in radians...

Answer 18

Oh, late :D

Answer 19

i know . 47.55 .

20pie - 47.55=15.28 duh yaay done !!!

Answer 20

okay wait, why did we subtract 47.55

Answer 21

Ohh... hm, I'm trying to understand everything, sorry. It's taking me awhile

Answer 22

total area of sector- area of triangle to get= area of shaded region

Answer 23

got it

Answer 24

:)