Math & everyday
Land Area Calculator
భూమి విస్తీర్ణం కాలిక్యులేటర్
The area of a plot or field of any shape from its sides and diagonals, in gajam, cents and acres, with a plan to scale.
Your result ఫలితం
Area of the land భూమి విస్తీర్ణం
133.33 gajam · 2.75 cents
- Square yards (gajam)గజం
- 133.33
- Square metresచదరపు మీటరు
- 111.48
- Centsసెంటు
- 2.75
- Guntasగుంట
- 1.1
- Boundary (for fencing)సరిహద్దు పొడవు
- 140 ft
How Length × width
Every unit and the working అన్ని కొలతల్లో
| Acre · ఎకరం | 0.028 |
|---|---|
| Cent · సెంటు | 2.75 |
| Gunta (kunta) · గుంట | 1.1 |
| Square yard (gajam) · గజం | 133.33 |
| Square foot · చదరపు అడుగు | 1,200 |
| Square metre · చదరపు మీటరు | 111.48 |
| Ankanam · అంకణం | 16.67 |
| Hectare · హెక్టారు | 0.011 |
| Acres and cents | 2.75 cents |
| Acres and guntas | 1.1 guntas |
| 40 ft × 30 ft | 1,200 square feet |
|---|
| Corner A | 90.0° (square) |
|---|---|
| Corner B | 90.0° (square) |
| Corner C | 90.0° (square) |
| Corner D | 90.0° (square) |
| Measurement | Feet | Ft + in | Metres | Yards | Links | cm |
|---|---|---|---|---|---|---|
| Length AB | 40 | 40 ft | 12.19 | 13.33 | 60.61 | 1,219 |
| Width BC | 30 | 30 ft | 9.14 | 10 | 45.45 | 914 |
| Boundary | 140 | 140 ft | 42.67 | 46.67 | 212.12 | 4,267 |
How the area is worked out
Any plot can be split into triangles, and a triangle's area follows from its three sides alone (Heron's formula), so a measuring tape is all you need:
area = √(s(s − a)(s − b)(s − c)), s = (a + b + c) ÷ 2
| Shape | Measure | Area |
|---|---|---|
| Rectangle దీర్ఘచతురస్రం | Length, width (a diagonal checks the corners) | length × width |
| Triangle త్రిభుజం | The three sides | Heron's formula |
| Four sides చతుర్భుజం | The four sides and the diagonal AC | triangle ABC + triangle ACD |
| Trapezium సమలంబ చతుర్భుజం | Front, back (parallel) and the depth between them | (front + back) ÷ 2 × depth |
| Five or more sides బహుభుజి | Every side and the diagonals from corner A | triangles ABC + ACD + ADE… |
Example: a plot with sides AB 40 ft, BC 62 ft, CD 45 ft, DA 60 ft and the diagonal AC 75 ft. Triangle ABC (40, 62, 75) is 1,239.17 sq ft and triangle ACD (75, 45, 60) is 1,350 sq ft: together 2,589.17 sq ft, which is 287.69 gajam or 5.94 cents.
How to measure a plot
- Name the corners A, B, C, D… going round the boundary, and measure each side from corner to corner with the tape pulled tight and level.
- For four or more sides, measure the diagonal from A to C too (and A to D… for more sides). Four sides alone do not fix the shape: like a door frame, the plot can lean and hold less.
- For a rectangle the diagonal checks the corners: with square corners it equals √(length² + width²), 50 ft for a 40 × 30 ft plot. A shorter or longer diagonal means the plot leans and holds less than length × width.
- For an L-shaped or odd plot, choose as A a corner from which every other corner can be seen, or split the plot into simple parts and add their areas.
Why not average the opposite sides?
The old shortcut, (40 + 45) ÷ 2 × (62 + 60) ÷ 2 = 2,592.5 sq ft for the example, is exact only for a rectangle; for every other shape it gives more than the true area. Without a diagonal, the most four sides can enclose is Brahmagupta's √((s − a)(s − b)(s − c)(s − d)), 2,589.6 sq ft here: the calculator shows it as an upper limit until you add the diagonal.
Links, chains and cents
Survey sketches such as the FMB often give lengths in links of Gunter's chain: 1 link = 7.92 inches (0.66 ft), 100 links = 1 chain = 66 ft. That makes 1,000 square links exactly 1 cent and 1,00,000 square links 1 acre. Check the sketch's legend first: newer surveys use metres, and a metric chain's link is 20 cm.
Questions
How many gajam is a 30 × 40 plot?
30 ft × 40 ft = 1,200 sq ft, ÷ 9 = 133.33 square yards (gajam), or 2.75 cents.
My plot's opposite sides are not equal. Which shape do I pick?
"4 sides": enter all four and the diagonal AC. Use "Trapezium" only when the front and back are parallel and you know the depth straight across.
Will this match my documents?
It is exact for the measurements you enter. Tapes sag and corners are hard to find, so small differences are normal; for a sale or registration, the extent in the official record and a licensed surveyor's measurement are what count.
What next? తర్వాత ఏం చూడాలి
See all calculators →The area is worked out on your device from the measurements you enter. For a sale or registration, the extent in the official record and a licensed surveyor's measurement are what count.
