If 1 Katha = 3.125 Decimal (which is commonly used in many villages under Patna district), then the land measurement conversions are:
| Unit | Equivalent |
| 1 Katha | 3.125 Decimal |
| 1 Decimal | 0.32 Katha |
| 1 Bigha (20 Katha) | 62.5 Decimal |
| 1 Decimal | 435.6 sq ft |
| 1 Katha | 1,361.25 sq ft (3.125 × 435.6) |
| 1 Bigha | 27,225 sq ft |
| 1 Acre | 100 Decimal = 32 Katha = 1.6 Bigha |
| 1 Acre | 43,560 sq ft |
| 1 Hectare | 2.471 Acres = 247.1 Decimal ≈ 79.07 Katha ≈ 3.95 Bigha |
Quick Conversion Table
| Katha | Decimal | Sq. Ft. |
| 1 | 3.125 | 1,361.25 |
| 2 | 6.25 | 2,722.50 |
| 3 | 9.375 | 4,083.75 |
| 4 | 12.50 | 5,445.00 |
| 5 | 15.625 | 6,806.25 |
| 10 | 31.25 | 13,612.50 |
| 15 | 46.875 | 20,418.75 |
| 20 (1 Bigha) | 62.50 | 27,225.00 |
| 32 | 100 (1 Acre) | 43,560.00 |
Reverse Conversion
- Decimal → Katha = Decimal ÷ 3.125
- Katha → Decimal = Katha × 3.125
- Katha → Sq. Ft. = Katha × 1,361.25
- Decimal → Sq. Ft. = Decimal × 435.6
- Sq. Ft. → Decimal = Sq. Ft. ÷ 435.6
- Sq. Ft. → Katha = Sq. Ft. ÷ 1,361.25
Note: The conversion 1 Katha = 3.125 Decimal is a local (Patna region) standard followed in many revenue villages (mauzas). Bihar does not have a single uniform Katha measurement across all districts, so the conversion may differ in other regions.
Below are examples based on the Patna (Bihar) Standard:
1 Katha = 20 Dhur = 3.125 Decimal = 1,361.25 sq. ft.
1 Dhur = 20 Dhurki = 68.0625 sq. ft. = 0.15625 Decimal
1 Dhurki = 3.403125 sq. ft. = 0.0078125 Decimal
Example 1: 500 Square Feet
| Calculation | Result |
| Decimal | 500 ÷ 435.6 = 1.1488 Decimal |
| Katha | 500 ÷ 1361.25 = 0.3673 Katha |
| Dhur | 0.3673 × 20 = 7.35 Dhur |
| Dhurki | 0.35 × 20 = 7 Dhurki |
Answer:
500 sq. ft. = 0 Katha 7 Dhur 7 Dhurki (Approx.)
Example 2: 1000 Square Feet
| Calculation | Result |
| Decimal | 2.2957 Decimal |
| Katha | 0.7346 Katha |
| Dhur | 14.69 Dhur |
| Dhurki | 13.8 Dhurki |
Answer:
1000 sq. ft. = 0 Katha 14 Dhur 14 Dhurki (Approx.)
Example 3: 1500 Square Feet
| Calculation | Result |
| Decimal | 3.4435 Decimal |
| Katha | 1.1019 Katha |
Remaining:
0.1019 × 20 = 2.04 Dhur
0.04 × 20 = 1 Dhurki
Answer:
1500 sq. ft. = 1 Katha 2 Dhur 1 Dhurki (Approx.)
Example 4: 2500 Square Feet
| Calculation | Result |
| Decimal | 5.7392 Decimal |
| Katha | 1.8365 Katha |
Remaining:
0.8365 × 20 = 16.73 Dhur
0.73 × 20 = 15 Dhurki
Answer:
2500 sq. ft. = 1 Katha 16 Dhur 15 Dhurki (Approx.)
Example 5: 5000 Square Feet
| Calculation | Result |
| Decimal | 11.4784 Decimal |
| Katha | 3.6730 Katha |
Remaining:
0.6730 × 20 = 13.46 Dhur
0.46 × 20 = 9 Dhurki
Answer:
5000 sq. ft. = 3 Katha 13 Dhur 9 Dhurki (Approx.)
Example 6: 10,000 Square Feet
| Calculation | Result |
| Decimal | 22.9569 Decimal |
| Katha | 7.3460 Katha |
Remaining:
0.3460 × 20 = 6.92 Dhur
0.92 × 20 = 18 Dhurki
Answer:
10,000 sq. ft. = 7 Katha 6 Dhur 18 Dhurki (Approx.)
Quick Conversion Formula
- Decimal = Square Feet ÷ 435.6
- Katha = Square Feet ÷ 1361.25
- Dhur = Fractional Katha × 20
- Dhurki = Fractional Dhur × 20
Example Formula
For 3,000 sq. ft.
- Katha = 3000 ÷ 1361.25 = 2.2044
- Whole Katha = 2
- Remaining = 0.2044 × 20 = 4.088 Dhur → 4 Dhur
- Remaining = 0.088 × 20 = 2 Dhurki
Final Answer: 3,000 sq. ft. = 2 Katha 4 Dhur 2 Dhurki (Approx.)