Question

Find the area of the shaded sections. Click on the answer until the correct answer is showing.

Answer 1

@jim_thompson5910

Answer 2

is there a pic?

Answer 3

use the formula

A = (angle/360)*pi*r^2

Answer 4

you'll have to find the area of each region separately, but they are congruent regions

so you basically find the area of one region, then double that answer

Answer 5

1/3(16(pi)

Answer 6

16/3 (pi)

Answer 7

A = (angle/360)*pi*r^2

A = (60/360)*pi*4^2

A = (1/6)*pi*16

A = (8/3)*pi

That's the area of one region. Double it to get 2*(8/3)*pi = (16/3)*pi

So you got it

Answer 8

okay thank you :)

Answer 9

and for this one?

Answer 10

@jim_thompson5910

Answer 11

same idea, the radius is still 4 but now the angle is 90 degrees (instead of 60 degrees)

Answer 12

oh wait, they want the triangles, not the pie-shaped pieces

Answer 13

how did you find out it was 90?

Answer 14

the area of one triangle is

A = b*h/2

A = 4*4/2

A = 8

Answer 15

ohhhh nvm ik how

Answer 16

so both triangles combined make 2*8 = 16 square units

Answer 17

yeah it shows a right angle (slightly covered up though)

Answer 18

so the answer is 16?

Answer 19

hwta happen to the other part?

Answer 20

what do you mean

Answer 21

what about the part of 90/360 (pi)

Answer 22

what about this one

Answer 23

Area of Shaded Region = (Area of Larger Circle) - (Area of Smaller Circle)

Answer 24

ohhh so like 16(pi)- 9(pi)

Answer 25

Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7)

Answer 26

things are making much more sense to me noe

Answer 27

more like 36pi - 9pi = 27pi

Answer 28

but you have the right idea

Answer 29

what's the area of the rectangle?

Answer 30

thats what i meant to say

Answer 31

Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7)

Answer 32

ummmm hold on idk how to get the h in the problem i never do knowhow

Answer 33

h=height

Answer 34

A = b*h

A = 2*11

A = 22

Answer 35

that's the area of the rectangle

Answer 36

now use this area to find the radius of the circle

Answer 37

this site is bugging out...

Answer 38

is it working for you?

Answer 39

the sie is working for me but im not sure how to get the correct answer i mean ik that (pi )(r)^2 equals the area but idk how to find the radius from the atinfo

Answer 40

from that info *

Answer 41

A = pi*r^2

22 = pi*r^2

solve for r

Answer 42

sqrt7

Answer 43

oh right and you use 22/7 for pi

Answer 44

right?

Answer 45

22 = pi*r^2

22 = (22/7)*r^2

1 = (1/7)*r^2

7 = r^2

r = sqrt(7)

you got it

Answer 46

Find the difference in area between the circle and the triangle. Click on the answer until the correct answer is showing.

Answer 47

@jim_thompson5910

Answer 48

you need to find the area of the circle and the triangle

Answer 49

okay area of the circle is 9(pi)

Answer 50

good

Answer 51

but how do i get h for the triangle idk how to find h for the problem A=1/2( b)(h)

Answer 52

you would use trig to find the base and height of that triangle

Answer 53

the base is 9 right ?

Answer 54

cos(60) = adj/hyp

cos(60) = adj/6

adj = 6*cos(60)

adj = 3

So the shorter leg is 3 units

Answer 55

the longer leg is 6*sin(60) = 6*sqrt(3)/2 = 3*sqrt(3)

Answer 56

therefore, the area of the triangle is

A = b*h/2

A = 3*(3*sqrt(3))/2

A = 9*sqrt(3)/2

Answer 57

wouldnt it 9 (pi)-9/2 sqrt 3

Answer 58

yep

Answer 59

that's the exact area

Answer 60

okay one more i think

Answer 61

Leave answer in exact form unless otherwise indicated.

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

Answer 62

how do i find the area of the hexagon?

Answer 63

one sec, the drawing wasn't working out but I found a better drawing

Answer 64

okie dokie :)

Answer 65

ok here is a hexagon

Answer 66

you can break it up into 6 pieces like so

Answer 67

so each piece is a triangle with a base of 6 inches

at this point, the height is unknown, but we can find it

Answer 68

each interior angle is 180(6-2)/6 = 120 degrees. Split that in half to get 60 degrees

So each triangle has 60 degrees in the lower portion like this