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Mathematics 23 Online
OpenStudy (mckenzieandjesus):

The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth.

OpenStudy (mckenzieandjesus):

OpenStudy (mckenzieandjesus):

@LegendarySadist @jim_thompson5910

jimthompson5910 (jim_thompson5910):

what's the area of the blue circle?

OpenStudy (mckenzieandjesus):

26.4?

jimthompson5910 (jim_thompson5910):

that's the radius I think

jimthompson5910 (jim_thompson5910):

either that or the diameter they didn't label the drawing too well

OpenStudy (mckenzieandjesus):

2189.56 ?

jimthompson5910 (jim_thompson5910):

I think because the line goes through the whole circle, 26.4 is the diameter

OpenStudy (mckenzieandjesus):

oh ok

OpenStudy (mckenzieandjesus):

how do i find the area of the blue circle?

jimthompson5910 (jim_thompson5910):

area = pi*r^2 r = radius

jimthompson5910 (jim_thompson5910):

radius = diameter/2

OpenStudy (mckenzieandjesus):

1.6328?

jimthompson5910 (jim_thompson5910):

how did you get that

OpenStudy (mckenzieandjesus):

26.4/2= 26 2/5 3.14*26 2/5^2=6.5312

OpenStudy (mckenzieandjesus):

oops. I am not sure.. did i get it right now?

jimthompson5910 (jim_thompson5910):

26.4/2= 26 2/5 is false

OpenStudy (mckenzieandjesus):

26.4/2= 13 1/5

jimthompson5910 (jim_thompson5910):

it should be 26.4/2= 13.2 your calculator is in one strange mode, idk

jimthompson5910 (jim_thompson5910):

yeah 13 & 1/5 = 13.2

OpenStudy (mckenzieandjesus):

so 3.14*13.2^2= 547 71/625?

OpenStudy (mckenzieandjesus):

or 547.1136? my calc is weird

jimthompson5910 (jim_thompson5910):

yeah roughly 547.1136

jimthompson5910 (jim_thompson5910):

that's the blue circle area

jimthompson5910 (jim_thompson5910):

in terms of pi, it is 174.24pi

OpenStudy (mckenzieandjesus):

ok

jimthompson5910 (jim_thompson5910):

do the same with the larger circle

OpenStudy (mckenzieandjesus):

3.14*8.8^2?

jimthompson5910 (jim_thompson5910):

8.8 isn't the radius, but it's part of it

OpenStudy (mckenzieandjesus):

what is the radius?

jimthompson5910 (jim_thompson5910):

radius of larger circle = (radius of smaller circle) + 8.8

jimthompson5910 (jim_thompson5910):

try to imagine the smaller circle erased for a second

OpenStudy (mckenzieandjesus):

so 555.9136?

OpenStudy (mckenzieandjesus):

547.1136+8.8= 555.9136

jimthompson5910 (jim_thompson5910):

547 is way too big

jimthompson5910 (jim_thompson5910):

the smaller radius was 13.2

OpenStudy (mckenzieandjesus):

oops, 13.2+8.8=22

jimthompson5910 (jim_thompson5910):

use that radius to find the area

OpenStudy (mckenzieandjesus):

1519.76

OpenStudy (mckenzieandjesus):

pi*r^2 3.14*22= 1519.76 right?

OpenStudy (mckenzieandjesus):

22^2

jimthompson5910 (jim_thompson5910):

now you subtract the two areas

OpenStudy (mckenzieandjesus):

1519.76-547.1136= 972.6464

OpenStudy (mckenzieandjesus):

so 973.1 ft2 (:

OpenStudy (mckenzieandjesus):

Find the measure of <3 120° 30° 45° 90°

OpenStudy (mckenzieandjesus):

isn't it 90 degrees?

jimthompson5910 (jim_thompson5910):

close

jimthompson5910 (jim_thompson5910):

you bisect it though

OpenStudy (mckenzieandjesus):

45 degrees?

jimthompson5910 (jim_thompson5910):

yeah

OpenStudy (mckenzieandjesus):

Find the measure of is it 45?

OpenStudy (mckenzieandjesus):

wait 60?

jimthompson5910 (jim_thompson5910):

your question is incomplete

OpenStudy (mckenzieandjesus):

oops. find the measure of <1

jimthompson5910 (jim_thompson5910):

why 60

OpenStudy (mckenzieandjesus):

i did 360/6

jimthompson5910 (jim_thompson5910):

good

OpenStudy (mckenzieandjesus):

ok. i cant remember how to do this What is the area of the circle if XY = 17 in.?

OpenStudy (mckenzieandjesus):

OpenStudy (mckenzieandjesus):

do i * 17 by pi?

OpenStudy (mckenzieandjesus):

its my last question i need help with

jimthompson5910 (jim_thompson5910):

what is the radius

OpenStudy (mckenzieandjesus):

i forget how to find it uhm..

jimthompson5910 (jim_thompson5910):

well XY = 17 is the diameter

OpenStudy (mckenzieandjesus):

ohh 17/2?

OpenStudy (mckenzieandjesus):

17/2= 6.5?

OpenStudy (mckenzieandjesus):

3.14*6.5= 20.410?

jimthompson5910 (jim_thompson5910):

17/2 is not 6.5

jimthompson5910 (jim_thompson5910):

you're thinking of 13/2

OpenStudy (mckenzieandjesus):

17/2= 8 1/2

OpenStudy (mckenzieandjesus):

ohmy idk y i put 6, my calc says 8

OpenStudy (mckenzieandjesus):

3.14*8.5= 26.69

jimthompson5910 (jim_thompson5910):

and then you have to square the radius

OpenStudy (mckenzieandjesus):

8.5 right?

OpenStudy (mckenzieandjesus):

72.25

OpenStudy (mckenzieandjesus):

or 72 1/4

jimthompson5910 (jim_thompson5910):

multiply 72.25 with pi to get the area

OpenStudy (mckenzieandjesus):

oh yeah, 226.865

OpenStudy (mckenzieandjesus):

that number is big though. what do i do next i forget?

jimthompson5910 (jim_thompson5910):

what are your answer choices?

OpenStudy (mckenzieandjesus):

17π in2 72.25π in2 36.75π in2 8.5π in2

jimthompson5910 (jim_thompson5910):

so just undo that last step we did

jimthompson5910 (jim_thompson5910):

and leave it in terms of pi

OpenStudy (mckenzieandjesus):

ohh ok

OpenStudy (mckenzieandjesus):

thanku so much!!

jimthompson5910 (jim_thompson5910):

np

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