kshetrafal

yeh sampoorn prushth ya iske kuchh vibhaag hindi ke atirikt anya bhaasha(on) mein bhi likhe gaye hain. aap inka anuvaad karke vikipeediya ki sahaayata kar sakte hain.

kisi tal (samatal ya vakratal) ke dvi-beemeeya (dvi-aayaami) aakaar ke parimaan (maap) ko kshetrafal kehte hain. jis kshetr ke kshetrafal ki baat ki jaati hai vah kshetr praay: kisi band vakr (closed curve) se ghira hota hai. ise praaya: m² (varg meter) mein maapa jaata hai.

kshetrafal ke maapan ke liye prayukt kuchh pramukh ikaaiyaaain is prakaar hain:

metrik

varg meter (mee² ya m²) = SI vyutpann ikaaiyaaain

air (are) (a) = 100 varg meter

hekteyar (hectare ya ha) = 10,000 varg mi

varg kilometer (kimee² ya km²) = 1,000,000 varg mi

varg foot (square foot) = 144 varg inch (square inches) = 0.09290304 varg mi

varg gaj (square yard) = 9 varg feet = 0.83612736 varg meter

varg meal (square mile) = 640 ekad (acres) = 2.5899881103 varg kimi (km²)

kshetrafal ke pramukh sameekaran:

aakruti	sameekaran	charon ka arth (meaning of variables)
varg (square)	${\displaystyle s^{2}\,\!}$	${\displaystyle s}$ varg ke bhuja ki lambaai hai.
tribhuj (triangle)	${\displaystyle {\frac {\sqrt {3}}{4}}s^{2}\,\!}$	${\displaystyle s}$ is the length of one side of the triangle.
sam shatbhuj (Regular hexagon)	${\displaystyle {\frac {3{\sqrt {3}}}{2}}s^{2}\,\!}$	${\displaystyle s}$ is the length of one side of the hexagon.
sam ashtabhuj (Regular octagon)	${\displaystyle 2(1+{\sqrt {2}})s^{2}\,\!}$	${\displaystyle s}$ is the length of one side of the octagon.
koi bhi sam bahubhuj (regular polygon)	${\displaystyle {\frac {1}{2}}ap\,\!}$	${\displaystyle a}$ is the apothem, or the radius of an inscribed circle in the polygon, and ${\displaystyle p}$ is the perimeter of the polygon.
koi bhi sam bahubhuj (2)	${\displaystyle {\frac {P^{2}/n}{4\cdot \tan(\pi /n)}}\,\!}$	${\displaystyle P}$ is the Perimeter and ${\displaystyle n}$ is the number of sides.
koi bhi sam bahubhuj (3)	${\displaystyle {\frac {P^{2}/n}{4\cdot \tan(180^{\circ }/n)}}\,\!}$	${\displaystyle P}$ is the Perimeter and ${\displaystyle n}$ is the number of sides.
aayat (Rectangle)	${\displaystyle lw\,\!}$	${\displaystyle l}$ and ${\displaystyle w}$ are the lengths of the rectangle's sides (length and width).
samaantar chaturbhuj (Parallelogram)	${\displaystyle bh\,\!}$	${\displaystyle b}$ and ${\displaystyle h}$ are the length of the base and the length of the perpendicular height, respectively.
sam chaturbhuj (Rhombus)	${\displaystyle {\frac {1}{2}}ab}$	${\displaystyle a}$ and ${\displaystyle b}$ are the lengths of the two diagonals of the rhombus.
tribhuj (TRIANGLE)	${\displaystyle {\frac {1}{2}}bh\,\!}$	${\displaystyle b}$ and ${\displaystyle h}$ are the base and altitude (measured perpendicular to the base), respectively.
tribhuj (3)	${\displaystyle {\frac {1}{2}}ab\sin C\,\!}$	${\displaystyle a}$ and ${\displaystyle b}$ are any two sides, and ${\displaystyle C}$ is the angle between them.
vrutt (Circle)	${\displaystyle \pi r^{2},\,\!}$ or ${\displaystyle \pi d^{2}/4\,\!}$	${\displaystyle r}$ is the radius and ${\displaystyle d}$ the diameter.
deergh vrutt (Ellipse)	${\displaystyle \pi ab\,\!}$	${\displaystyle a}$ and ${\displaystyle b}$ are the semi-major and semi-minor axes, respectively.
samalamb chaturbhuj (Trapezoid)	${\displaystyle {\frac {1}{2}}(a+b)h\,\!}$	${\displaystyle a}$ and ${\displaystyle b}$ are the parallel sides and ${\displaystyle h}$ the distance (height) between the parallels.
belan ka sampoorn prusht (Total surface area of a Cylinder)	${\displaystyle 2\pi r^{2}+2\pi rh\,\!}$	${\displaystyle r}$ and ${\displaystyle h}$ are the radius and height, respectively.
belan ka paarshv prusht (Lateral surface)	${\displaystyle 2\pi rh\,\!}$	${\displaystyle r}$ and ${\displaystyle h}$ are the radius and height, respectively.
shanku ka sampoorn prusht (Total surface area of a Cone)	${\displaystyle \pi r(l+r)\,\!}$	${\displaystyle r}$ and ${\displaystyle l}$ are the radius and slant height, respectively.
shanku ka paarshv prusht ya vakr prushth	${\displaystyle \pi rl\,\!}$	${\displaystyle r}$ and ${\displaystyle l}$ are the radius and slant height, respectively.
gole (sphere) ka sampoorn prushth	${\displaystyle 4\pi r^{2}\,\!}$ or ${\displaystyle \pi d^{2}\,\!}$	${\displaystyle r}$ and ${\displaystyle d}$ are the radius and diameter, respectively.
deergh vruttaabh ka sampoorn prushth (Total surface area of an ellipsoid)		See the article.
vrutteeya kshetr (Circular sector)	${\displaystyle {\frac {1}{2}}r^{2}\theta \,\!}$	${\displaystyle r}$ and ${\displaystyle \theta }$ are the radius and angle (in radians), respectively.
x-aksh ke parit: f(x) ko ghumaane par bane prushth ka kshetrafal	${\displaystyle 2\pi \int _{a}^{b}|f(x)|{\sqrt {1+(f'(x))^{2}}}dx}$
f(x) ko y-aksh ke parit: ghumaane se bane tal ka kshetrafal	${\displaystyle 2\pi \int _{a}^{b}|x|{\sqrt {1+(f'(x))^{2}}}dx}$ -->

vism bahubhujon (irregular polygons) ka kshetrafal sarveyar ke sootr se nikaala ja sakta hai.^[1]

• samaakalan
• aayatan

1. ↑ [1]

• kshetrafal ke sootr

6"

yeh lekh ek aadhaar hai. aap ise badhaakar vikipeediya ki sahaayata kar sakte hain. the va b