Eaghtyr
{{Ymmydcosoylagh|yn mooad towse-oaylleeagh|keeal elley yn 'ockle shoh|Eaghtyr (reddaghey)}}
Ta'n fockle '''eaghtyr''' ny chur sheese er [[mooad]] ta fockley mooadys [[towshan|daa-howshanagh]] er rheynn vaghtal jeh baare, eaghtyr ny crackan, ta caglit liorish cruill ghooint. Ta'n enmys ny chur sheese er slane eaghtyr baare, eaghtyr ny crackan anchoodit jeh stooalt tree-howshanagh, lheid as sym eaghtyryn jeh çheughyn anchoodit [[polyheedrane]].

== Unnidyn ==
Ta unnidyn ry hoi towshanagh eaghtyr goaill stiagh lheid as:

::[[are]] (a) = 100 meteryn kerrinagh (m²)
::[[hectare]] (ha) = 100 areyn (a) = 10000 meteryn kerrinagh (m²)
::[[kilometer kerrinagh]] (km²) = 100 hectareyn (ha) = 10000 areyn (a) = 1000000 meteryn kerrinagh (m²)
::[[mooar-veter kerrinagh]] (Mm²) = 10<sup>12</sup> meteryn kerrinagh
::[[trie cherrinagh]] = 144 oarlee cherrinagh = 0.09290304 meteryn kerrinagh (m²)
::[[stundayrt kerrinagh]] = 9 trieyn kerrinagh (0.84 m²) = 0.83612736 meteryn kerrinagh (m²)
::[[perçh (unnid)|perçh]] kerrinagh = 30.25 stundayrtyn kerrinagh = 25.2928526 meteryn kerrinagh (m²)
::[[meeilley cherrinagh]] = 640 acyryn (2.6 km²) = 2.5899881103 kilometeryn kerrinagh (km²)

== Formley ==
[[Coadan:Area.svg|right|200px]]
{| class="prettytable"
|+ [[Formley]] cadjin da eaghtyr:      
! Cummey
! Cormid
! Ceaghlee
|-
|[[Kerrin (towse-oaylleeaght)|Kerrin]]
|<math>s^2\,\!</math>
|She <math>s</math> lhiurid un çheu y cherrin.
|-
|[[Troorane]] cadjin ([[troorane co-lhiatteeagh]])
||<math>\frac{\sqrt{3}}{4}s^2\,\!</math>
||She <math>s</math> lhiurid un çheu y troorane.
|-
|[[Shey-lhiattaghan]] cadjin
|<math>\frac{3\sqrt{3}}{2}s^2\,\!</math>
|She <math>s</math> lhiurid un çheu y shey-lhiattaghan.
|-
|[[Hoght-lhiatteeane]] cadjin
|<math>2\left(1+\sqrt{2}\right)s^2\,\!</math>
|She <math>s</math> lhurid un çheu y hoght-lhiatteeane.
|-
|Yl-lhiatteeane cadjin erbee
|<math>\frac{1}{2}a p \,\!</math>
|She <math>a</math> yn [[apothem]], ny craue raadeeoil jeh kiarkyl grainnit 'syn yl-lhiatteeane, as she <math>p</math> ym-linney yn yl-lhiatteeane.
|-
|Yl-lhiatteeane cadjin erbee
|<math>\frac{ns^2} {4 \cdot \tan(\pi/n)}\,\!</math>
|She <math>   s   </math>      y çheu-lhiurid as she <math>n</math> earroo ny çheughyn.
|-
|Yl-lhiatteeane erbee (jannoo ymmyd jeh towse keim)
|<math>\frac{ns^2} {4 \cdot \tan(180^\circ/n)}\,\!     </math>
|She <math>  s   </math> y çheu-lhiurid as she <math>n</math> earroo ny çheughyn.
|-
|[[Kiare-chuilleig]]
|<math>lw \,\!</math>
|She <math>l</math> as <math>w</math> lhiuridyn jeh çheughyn ny kiare-chuilleig (lhiurid as lheead).
|-
|[[Coheeyntane]] (dy cadjin)
|<math>bh\,\!</math>
|She <math>b</math> as <math>h</math> lhiurid y vun as lhiurid yn yrjid jeeraghan, er lheh.
|-
|[[Rhombus]]
|<math>\frac{1}{2}ab</math>
|She <math>a</math> as <math>b</math> lhiuridyn daa [[tessen|hessen]] y rhombus.
|-
|[[Troorane]]
|<math>\frac{1}{2}bh \,\!</math>
|She <math>b</math> as <math>h</math> bun as yrjid (towsit ayns jeeraghan rish y vun), er lheh.
|-
|[[Troorane]]
|<math>\frac{1}{2} a b \sin(C)\,\!</math>
|She <math>a</math> as <math>b</math> daa çheu erbee, as she <math>C</math> yn uillin eddyr oc.
|-
|[[Kiarkyl]]
|<math>\pi r^2\ \text{ny}\ \frac{\pi d^2}{4} \,\!</math>
|She <math>r</math> y chraue raadeeoil as she <math>d</math> y crantessen.
|-
|[[Eelips]]
|<math>\pi ab \,\!</math>
|She <math>a</math> as <math>b</math> ny [[essylys lieh-vooar|h-essylyssyn lieh-vooar]] as [[essylys lieh-veg|lieh-veg]], er mod.
|-
|[[Far-voayrdeen]] 
|<math>\frac{1}{2}(a+b)h \,\!</math>
|She <math>a</math> as <math>b</math> ny çheughyn coheeynt as she <math>h</math> y foddeeaght (yrjid) eddyr ny colinnaghyn.
|-
|Slane eaghtyr y [[Rollian]]
|<math>2\pi r^2+2\pi r h \,\!</math>
|She <math>r</math> as <math>h</math> y chraue raadeeoil as yn yrjid, er mod.
|-
|Eaghtyr lhiattagh y rollian
|<math>2 \pi r h \,\!</math>
|She <math>r</math> as <math>h</math> y chraue raadeeoil as yn yrjid, er mod.
|-
|Slane eaghtyr y [[Cughlin (towse-oayleeaght)|chughlin]]
|<math>\pi r (l + r) \,\!</math> 
|She <math>r</math> as <math>l</math> y chraue raadeeoil as yn [[yrjid sceau]], er mod.
|-
|Eaghtyr lhiattagh y chughlin.
|<math>\pi r l \,\!</math>
|She <math>r</math> as <math>l</math> y chraue raadeeoil as yn yrjid sceau, er mod.
|-
|Slane eaghtyr ny [[Cruinney (towse-oaylleeaght)|cruinney]]
|<math>4\pi r^2\ \text{ny}\ \pi d^2\,\!</math>
|She <math>r</math> and <math>d</math> are the radius and diameter, respectively.
|-
|Slane eaghtyr yn [[eelipsoyd]]
|&nbsp;
|Jeeagh er yn art.
|-
|[[Rheynnag chiarkylagh]]
|<math>\frac{1}{2} r^2 \theta \,\!</math>
|She <math>r</math> as <math>\theta</math> y chraue raadeeoil as yn uillin (ayns [[raadjan]]yn), er mod.
|-
|Çhyndaays eaghtyr [[Kerrin (towse-oayleeaght)|kerrinagh]] dys eaghtyr kiarkylagh
|<math>\frac{4}{\pi} A\,\!</math>
|She <math>A</math> eaghtyr y cherrin ayns unnidyn kerrinagh.
|-
|Çhyndaays eaghtyr kiarkylagh dys eaghtyr kerrinagh
|<math>\frac{1}{4} C\pi\,\!</math>
|She <math>C</math> eaghtyr y chiarkyl ayns unnidyn kiarkylagh.
<!--
|-
|Çhyndaa f(x) mygeayrt yn x-essyl
|<math>2 \pi \int_{a}^{b} |f(x)| \sqrt{1+(f'(x))^2}dx</math>
|-
|Eaghtyr er baare jeh çhyndaa f(x) mygeayrt y y-essyl
|<math>2 \pi \int_{a}^{b} |x| \sqrt{1+(f'(x))^2}dx</math>
-->
|}

Ta ny calghoolyssyn shoh heose taishbyney c'red eaghtyr ram cummaghyn cadjin y gheddyn.

== Imraaghyn ==
{{rolleyimraaghyn}}

{{bun}}

[[Ronney:Eaghtyr (towse-oaylleeaght)| ]]
Ta'n fockle eaghtyr ny chur sheese er mooad ta fockley mooadys daa-howshanagh er rheynn vaghtal jeh baare, eaghtyr ny crackan, ta caglit liorish cruill ghooint. Ta'n enmys ny chur sheese er slane eaghtyr baare, eaghtyr ny crackan anchoodit jeh stooalt tree-howshanagh, lheid as sym eaghtyryn jeh çheughyn anchoodit polyheedrane.

 Unnidyn 
Ta unnidyn ry hoi towshanagh eaghtyr goaill stiagh lheid as:

are (a) = 100 meteryn kerrinagh (m²)
hectare (ha) = 100 areyn (a) = 10000 meteryn kerrinagh (m²)
kilometer kerrinagh (km²) = 100 hectareyn (ha) = 10000 areyn (a) = 1000000 meteryn kerrinagh (m²)
mooar-veter kerrinagh (Mm²) = 1012 meteryn kerrinagh
trie cherrinagh = 144 oarlee cherrinagh = 0.09290304 meteryn kerrinagh (m²)
stundayrt kerrinagh = 9 trieyn kerrinagh (0.84 m²) = 0.83612736 meteryn kerrinagh (m²)
perçh kerrinagh = 30.25 stundayrtyn kerrinagh = 25.2928526 meteryn kerrinagh (m²)
meeilley cherrinagh = 640 acyryn (2.6 km²) = 2.5899881103 kilometeryn kerrinagh (km²)

 Formley 
right|200px
+ Formley cadjin da eaghtyr:       Cummey Cormid CeaghleeKerrinShe  lhiurid un çheu y cherrin.Troorane cadjin (troorane co-lhiatteeagh)She  lhiurid un çheu y troorane.Shey-lhiattaghan cadjinShe  lhiurid un çheu y shey-lhiattaghan.Hoght-lhiatteeane cadjinShe  lhurid un çheu y hoght-lhiatteeane.Yl-lhiatteeane cadjin erbeeShe  yn apothem, ny craue raadeeoil jeh kiarkyl grainnit 'syn yl-lhiatteeane, as she  ym-linney yn yl-lhiatteeane.Yl-lhiatteeane cadjin erbeeShe       y çheu-lhiurid as she  earroo ny çheughyn.Yl-lhiatteeane erbee (jannoo ymmyd jeh towse keim)She  y çheu-lhiurid as she  earroo ny çheughyn.Kiare-chuilleigShe  as  lhiuridyn jeh çheughyn ny kiare-chuilleig (lhiurid as lheead).Coheeyntane (dy cadjin)She  as  lhiurid y vun as lhiurid yn yrjid jeeraghan, er lheh.RhombusShe  as  lhiuridyn daa hessen y rhombus.TrooraneShe  as  bun as yrjid (towsit ayns jeeraghan rish y vun), er lheh.TrooraneShe  as  daa çheu erbee, as she  yn uillin eddyr oc.KiarkylShe  y chraue raadeeoil as she  y crantessen.EelipsShe  as  ny h-essylyssyn lieh-vooar as lieh-veg, er mod.Far-voayrdeen She  as  ny çheughyn coheeynt as she  y foddeeaght (yrjid) eddyr ny colinnaghyn.Slane eaghtyr y RollianShe  as  y chraue raadeeoil as yn yrjid, er mod.Eaghtyr lhiattagh y rollianShe  as  y chraue raadeeoil as yn yrjid, er mod.Slane eaghtyr y chughlin She  as  y chraue raadeeoil as yn yrjid sceau, er mod.Eaghtyr lhiattagh y chughlin.She  as  y chraue raadeeoil as yn yrjid sceau, er mod.Slane eaghtyr ny cruinneyShe  and  are the radius and diameter, respectively.Slane eaghtyr yn eelipsoyd Jeeagh er yn art.Rheynnag chiarkylaghShe  as  y chraue raadeeoil as yn uillin (ayns raadjanyn), er mod.Çhyndaays eaghtyr kerrinagh dys eaghtyr kiarkylaghShe  eaghtyr y cherrin ayns unnidyn kerrinagh.Çhyndaays eaghtyr kiarkylagh dys eaghtyr kerrinaghShe  eaghtyr y chiarkyl ayns unnidyn kiarkylagh.

Ta ny calghoolyssyn shoh heose taishbyney c'red eaghtyr ram cummaghyn cadjin y gheddyn.

 Imraaghyn