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MathematicsCIRCLE AND CYLINDER 

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CIRCLE

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 What is a Circle?

Two-dimensional sh

Have locus of all poiequidistant from acentral point.

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Lines Inside a Circle

Radius, r  = the distance fromcenter to any point on the circ

Diameter, d = longest distancthe centerd= 2r

Chord = any line segment whtouches two points within the

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 Arc = any curved line on tcircumference

Sector  = pie-shaped portithe area

Segment = region !oundchord and the arc su!tendthe chord

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CALCULAI!NS

Circumference, C = the around the circleC"#$r " $d

 "rea, A " $r #

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 "rea of &egment

= "rea of &ector "'C ( "rTriangle "'C

%n degree$=  & % $r # ' - . / 0ase

height  +,*%n radians$= & r # - . r # sin &  #

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CYLINDER 

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 What is a C1linder?

Three-dimensionalshape

Has 2 circular )usuall

parallel !asesconnected !y a curvesurface

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Right Cylinder +!liue Cylinder

12es o3 C1linders

arallel !asesare aligned

arallel !asesare displacedsideways

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CALCULAI!NS

 olume, = canfound !y multipthe area of !asethe height

 4 " $r #h/here,r = radius of cirendh = height

Right cylinder +!liuecylinder

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Total surface area, T&"= "rea of top circle 0 "!ottom circle 0 "rea ofsurface= #$r # 5 #$rh