- Investigation 9.4
- post your conjecture
- The area of a regular polygon is given by the formula ?, where A is the area, a is the apothem, s is the length of each side, and n is the number if sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn = p. The formula can also be written as A = (1/2) a ?
- after 10 of you have posted the same conjecture, do:
- (1-4 all, 8-15) all
#9.5
- Investigation 9.5
- post your conjecture:
- The area of a circle is given by the formula ?, where A is the area and r is the radius of the circle.
- when 10 of you have posted the same conjecture, then do:
- (1-10 all, 12-16 all)
- don't forget to bring the FINAL cutout parallelogram to class! Use glue or tape for step 4 of the investigation. I don't want 16 separate wedges. I want to see the 16 wedges glued down or taped down side by side to form a parallelogram
posted by msichan @ 11:01 AM
23 Comments:
C-86
The area of a regular polygon is given by the formula A = (1/2)asn, where A is the area, a is the apothem, s is the length of each side, and n is the number of sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn = p. The formula can also be written as A = (l/2)ap
I'm sorry, I'm sorry!
I had to fold the laundry right when I got in since my Pops is working tomorrow. >.<; Wowwies. XD The investigation for section 9.4 was probably one of the most least complicated we've had. You could solve it even without drawing the term and value chart, or anything like that.
Anyway, I wholeheartedly agree with Dana. ^-^
Conjecture 86:
The area of regular polygon is given by the formula A= (1/2)asn, where A is the area, a is the apothem, s is the length of each side, and n is the number of sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn=p. The forumla can also be written as A= (1/2)ap.
Gyaaaah! And could someone scan their exact notes we took during class yesterday regarding the algebraic derivations for the areas of a triangle, trapezoid, and kite?
;____; My little brother mistakenly gotten his popsicle all over my paper. U-waaaah! *sobs on knees* -____-;; *dies*
Thank you very much in advance. *clings to your ankles*
Sincerely,
--Mary.
Thats what I got but i couldnt figure out the other way to write it... but now I get it.
If a regular polygon is given y the formula A=(1/2)asn... blah blah..... The formula can also be written as A=(1/2)ap...
Keenan
Fwee.
While I was waiting for a few more people to post their conjectures, I started working on investigation 9.5.
[A word of advice for anyone starting their circles. XD It might be easier to glue it down onto a separate sheet of paper, instead of taping it together. It took me forever. XD! Gyaaah. I felt like I was weaving. Though, if you've got super-mega-taping skills, by all means rock out. XDD]
Conjecture 87:
The area of a circle is given by the formula A= pr^2 [Pie-r squared], where A is the area and r is the radius of the circle.
Since the formula's always on those FCAT reference sheets, it's been embedded in my brain. XD This investigations helped me see why it is what it is, though.
Sincerely,
--Mary.
c-87
The area of a circle is given by the formula A= (pie)r2, where A is the area and r is the radius of the circle
c 86
the area of a reg polygon is given by the formula A=(1/2)asn, where A is the area, a ist the apothem, s is the length of each side, and n is the #of sides of the reg poly.Because the length of each side times the # of sides is the perimeter, sn=p. The form can also be written as A=(1/2)ap
hey how do you solve #8 in 9.4?
S.I.L.lie!
Keenan told me you left early today. I hope you feel better soon, because you looked absolutely [no offense--I love you. XD] miserable this morning. *hughug!*
Hmm. I'm only on number two myself. I just read over number eight.
What does it mean by--ooh, wait. Jess, conjecture eighty-six also states that the area can also be found by: (1/2)ap. Number eight already gives you the measurements of both the apothegm [I keep spelling "apothem", but my web browser keeps saying it's spelt wrong!] and the perimeter.
Sincerely,
--Mary.
For # 13 on 9.4 I got 32.5... I dont know if its right...
PS: I went on... you guys take to long to post your conjectures so I just trust Mary and Dana :)
c 87
the area of a circle is given by the formula A=(pie)r Squared, where A is the areaand r is the radius of the circle.
Umm.. I also got 30 for 14 and 11 for 15.... Did anyone get that... wanna make sure I doing it right
Made a minor change to my display name... it suits me better... Keenan
thanks Mae!!!!! ya i went home early. i had the hardest time walking to my 2nd hour. keenan i wuv ur new name!!!!!!!! :P ;)
When you say 3.14 it is spelled "pi" not "pie"
As for my conjecture The area of a regular polygon is given by the formula A = (1/2)as(n), where A is the area, a is the apothem, s is the length of each side, and n is the number of sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn = p. The formula can also be written as A = (l/2)ap
You're welcome, Sillie. XD
Gyaaah. Dude. >.<; Will you be able to come to school tomorrow? I think your Mommy should keep you bedridden. XD *headpatpat*
Keenan! XD We have faith in you. You go get your A, buddy! XDDD *waves pom-poms!* Ooh, wowwies. I'm only on number fourteen. XD I'm sooo superly slow. And I've got all Mister Haggard's work to catch up on. >.<;
Can you show your work for numbers thirteen to fifteen, so I can follow through with how you got your answers?
Ooh, and would it be possible for me to re-copy those algebraic derivations for the areas of a triangle, trapezoid, and kite? Please? ;__; I will forever be in your debt. >.<;; *flaails*
Sincerely,
--Mary.
P.S. Wowwies. Look, we're almost done with chapter nine. XD
The area of a regular polygon is given by the formula A = (1/2) asn, where A is the area, a is the apothem, s is the length of each side, and n is the number of sides of the regular polygon. Because the length of each side times the number of sides is the perimeter, sn = p. The formula can also be written as A = (1/2)ap
...*falls off chair!* XDDD WOW. Hoh'snap, crackle, pop. XD British, you just knocked me down like five hundred notches. I feel so stupid for spelling pi wrong. *GUFFAW!* ...*dies!* XDDDD.
Sincerely Spazzing,
--Mary.
Can somebody please help me w/ 9.4 #5? What's the method that you use to construct a reg. hexagon?
Aaaah. *hughug* Sarah, Sarah.
Don't worry about it. XD Fortunately, we only have to do numbers one through four, and then eight through fifteen in section 9.4.
Sincerely,
--Mary.
Um... right! I knew that... Totally.
[Thanks, Mary.]
C-87
The area of a circle is given by the formula A = (pi)r^2, where A is the area and r is the radius of the circle.
Hopefully Mr. Haggard wont be here tommr.
Ohhhhh.......... Thank You British for telling me that...
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