Question

Express answer in exact form.

Find the area of one segment formed by a square with sides of 6" inscribed in a circle.

(Hint: use the ratio of 1:1:√2 to find the radius of the circle.)


this is what my teacher told me ------>Since we know that the diagonals of a square are perpendicular, the triangle that is pictured must be a 45º – 45º – 90º right triangle. Since the sides of a 45º – 45º – 90º triangle are in the ratio of 1 – 1 – sqrt(2) , and the hypotenuse has length 6 inches, the two legs of the triangle (and the radius of the circle) must have length inches. r = (1/sqrt(2) * 6 inches =

Answer 1

i have seen this several times but am still not sure what "segment' means. i am sure i have solved this one way already

Answer 2

we can do it afresh if you like, but still need to know what a "segment" is

Answer 3

hold on

Answer 4

i am holding

Answer 5

here we go -------->Geometry .
a.
a part cut off from a figure, especially a circular or spherical one, by a line or plane, as a part of a circular area contained by an arc and its chord or by two parallel lines or planes.
b.
Also called line segment. a finite section of a line.

Answer 6

http://www.google.com/imgres?q=square+inscribed+in+a+circle&hl=en&client=ubuntu&hs=Rdy&sa=X&pwst=1&channel=fs&biw=1179&bih=803&tbm=isch&prmd=ivnsfd&tbnid=xSkQ5hFu1yQShM:&imgrefurl=http://eldar.mathstat.uoguelph.ca/dashlock/Outreach/POW/P006.html&docid=tetqh5rfwUqF-M&w=800&h=800&ei=bC04TuGKDIzpgAemkaGgAg&zoom=1&iact=hc&vpx=166&vpy=85&dur=74&hovh=225&hovw=225&tx=93&ty=100&page=1&tbnh=153&tbnw=153&start=0&ndsp=20&ved=1t:429,r:0,s:0

Answer 7

you want one of those 4 outside pieces yes?

Answer 8

Akshay Budhkar: http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4e382f680b8bf47d065f213e plz confirm