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Mathematics 19 Online
Nicole:

http://prntscr.com/iay8vl

Nicole:

@Vocaloid

Vocaloid:

|dw:1517931697095:dw|

Vocaloid:

|dw:1517931704608:dw|

Vocaloid:

area of shaded region = area of the square - area of the circle the area of the square is (side)^2 the area of the circle is pi * r^2 where the radius is 5

Nicole:

Ok so the answer is B?

Vocaloid:

please read what I wrote carefully

Nicole:

So for the saquare we have to do 10 times 2 which is 20?

Vocaloid:

the area of a square is (side)^2 where the 2 is an exponent not multiplication

Nicole:

ok so the area of the square is 10^2

Vocaloid:

good, keep going

Nicole:

whats pi tho?

Vocaloid:

pi is approximately 3.14

Nicole:

ok so we have to do 3.14 times 5^2?

Vocaloid:

yes

Nicole:

78.5

Vocaloid:

good, and 100 - 78.5 = ?

Nicole:

21.5

Vocaloid:

good, that's answer D

Nicole:

http://prntscr.com/iayd51

Vocaloid:

same thing as before, just using side length 8 and radius 4

Nicole:

ok gimme time to find answer

Nicole:

ok so for 8^2

Nicole:

then we do 3.14*8^2

Vocaloid:

radius is 4 not 8

Vocaloid:

(since the radius of the circle is 1/2 the side of the square)

Nicole:

ok so 3.14*8^4

Vocaloid:

pi * r^2 pi * (4)^2

Nicole:

50.24

Vocaloid:

good, now we just subtract 8^2 - 50.24

Nicole:

13.76

Vocaloid:

good, so c

Nicole:

http://prntscr.com/iayhsu

Vocaloid:

shaded area = (big circle area - small circle area) as usual, area of a circle = pi*r^2 to find the radius of the other two circles, we divide diameter/2 so big radius = 10.5/2 small radius = 4.5/2

Vocaloid:

use this to calculate: area of big circle - area of small circle

Nicole:

Confused lol

Vocaloid:

calculate the area of the big circle if the big circle has radius 10.5/2

Nicole:

so 3.14*10.5/2^2?

Vocaloid:

good just be careful with parentheses 3.14*(10.5/2)^2

Nicole:

86.54625

Vocaloid:

good, now calculate the area of the smaller circle small radius = 4.5/2

Nicole:

ok so 3.14*(4.5/2)^2

Vocaloid:

good

Nicole:

15.89625

Vocaloid:

good, now just subtract big circle area - small circle area 86.54625 - 15.89625 = ?

Nicole:

70.65

Vocaloid:

good, and that rounds up to 70.7 (A)

Nicole:

which is A

Nicole:

http://prntscr.com/iayq5g

Vocaloid:

(gonna assume it's a solid piece of glass not a ring) so it's just area of circle * price of glass per square meter

Nicole:

so the price is 4.60. What is the area of the ciricle?

Vocaloid:

pi * r^2 as usual

Nicole:

ok so 3.14*0.8^2

Vocaloid:

yes

Nicole:

2.0096

Vocaloid:

good, and that * the price of glass= ?

Nicole:

1.6

Nicole:

oh no sorry

Nicole:

9.24

Vocaloid:

good, so b

Nicole:

last one: http://prntscr.com/iaytnd

Vocaloid:

|dw:1517933818218:dw|

Vocaloid:

|dw:1517933825413:dw|

Vocaloid:

if we put the two ends of the shape together we get a circle with radius 15 the rectangle has length 50 and width 30 so area of rectangle + area of circle = ?

Nicole:

1500

Nicole:

3.14*15^2

Nicole:

706.5

Nicole:

1500 plus 706.5

Vocaloid:

good, and that equals...?

Nicole:

2206.5

Nicole:

D

Vocaloid:

awesome, d

Nicole:

Ok thanks for all the help voca!

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