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Geometry 8 Online
OpenStudy (anonymous):

i need help with some geometry problems could someone please help me

OpenStudy (anonymous):

Post your question?

OpenStudy (anonymous):

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.)

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

s = 6, r = (1/2) 6^2 + 6^2 = h^2 36 + 36 = h^2 72 = h^2 h = 6√2 r = (1/2)h r = (1/2)(6√2) r = 3√2 Now, find the area of a circle: A = pi r^2 A = pi(3√2)^2 A = 18pi Next, find the area of a square: A = s^2 A = 6^2 A = 36 Finally, find the area of a segment: (area of circle - area of square)/4 (18pi - 36)/4 = (9pi - 18)/2 = (9/2)pi - 9 = 5.1 in^2 \[\frac{ 18\pi - 36 }{ 4 } = \frac{ 9\pi - 18 }{ 2 } = 5.1\]

OpenStudy (anonymous):

the way its asking me to answer it is like this A= _ _ -_(pi)

OpenStudy (anonymous):

oops wait hold on wrong one

OpenStudy (anonymous):

its asking A+(blank/blank (pi)-blank)^2

OpenStudy (anonymous):

+ meant to be =

OpenStudy (anonymous):

Try 9 / 2 (pi) - 18?

OpenStudy (anonymous):

but the last number says its only one number:/ not two numbers like 18

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