Square
(the database of solved problems)
All the problems and solutions shown below were generated using the Square Calculator.
| ID |
Problem |
Count |
| 51 | Find the side $ a $ of a square if circumcircle radius $R = 10\, \text{mm}$. | 3 |
| 52 | Find the side $ a $ of a square if side $a = 30\, \text{mm}$. | 3 |
| 53 | Find the side $ a $ of a square if diagonal $d = 4\, \text{mm}$. | 3 |
| 54 | Find the side $ a $ of a square if side $a = 50\, \text{mm}$, area $A = 200\, \text{cm}^2$ and perimeter $P = 2500\, \text{mm}$. | 3 |
| 55 | Find the side $ a $ of a square if side $a = 1\, \text{mm}$. | 3 |
| 56 | Find the side $ a $ of a square if diagonal $d = 40\, \text{mm}$. | 3 |
| 57 | Find the side $ a $ of a square if side $a = 80\, \text{mm}$, perimeter $P = 160\, \text{mm}$ and incircle radius $r = 40\, \text{mm}$. | 3 |
| 58 | Find the perimeter $ P $ of a square if area $A = 81\, \text{mm}^2$. | 3 |
| 59 | Find the side $ a $ of a square if diagonal $d = 24\, \text{in}$. | 3 |
| 60 | Find the side $ a $ of a square if side $a = 6\, \text{mm}$. | 3 |
| 61 | Find the diagonal $ d $ of a square if side $a = 30\, \text{mm}$. | 3 |
| 62 | Find the side $ a $ of a square if side $a = 900\, \text{mm}$. | 3 |
| 63 | Find the diagonal $ d $ of a square if side $a = 9\, \text{in}$ and perimeter $P = 36\, \text{in}$. | 3 |
| 64 | Find the diagonal $ d $ of a square if side $a = 10\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 3 |
| 65 | Find the side $ a $ of a square if side $a = 50\, \text{mm}$ and perimeter $P = 200\, \text{mm}$. | 3 |
| 66 | Find the side $ a $ of a square if side $a = 20\, \text{mm}$. | 3 |
| 67 | Find the area $ A $ of a square if incircle radius $r = 25000\, \text{mm}$. | 3 |
| 68 | Find the side $ a $ of a square if perimeter $P = 27\, \text{mm}$. | 3 |
| 69 | Find the side $ a $ of a square if area $A = 90\, \text{m}^2$. | 3 |
| 70 | Find the diagonal $ d $ of a square if side $a = 0.65\, \text{mm}$. | 3 |
| 71 | Find the side $ a $ of a square if side $a = 1\, \text{mm}$, area $A = 1\, \text{mm}^2$, perimeter $P = 1\, \text{mm}$, diagonal $d = 1\, \text{mm}$, circumcircle radius $R = 1\, \text{mm}$ and incircle radius $r = 1\, \text{mm}$. | 3 |
| 72 | Find the side $ a $ of a square if ???. | 3 |
| 73 | Find the diagonal $ d $ of a square if side $a = 15$. | 2 |
| 74 | Find the incircle radius $ r $ of a square if area $A = 8$. | 2 |
| 75 | Find the side $ a $ of a square if side $a = 16$ and perimeter $P = 42$. | 2 |
| 76 | Find the diagonal $ d $ of a square if side $a = 8\, \text{ft}$ and perimeter $P = 8\, \text{ft}$. | 2 |
| 77 | Find the side $ a $ of a square if side $a = 40\, \text{ft}$ and perimeter $P = 40\, \text{ft}$. | 2 |
| 78 | Find the side $ a $ of a square if perimeter $P = 224$. | 2 |
| 79 | Find the area $ A $ of a square if side $a = 2 \sqrt{ 2 }$. | 2 |
| 80 | Find the side $ a $ of a square if diagonal $d = 69.3542\, \text{ft}$. | 2 |
| 81 | Find the area $ A $ of a square if circumcircle radius $R = 6$. | 2 |
| 82 | Find the area $ A $ of a square if circumcircle radius $R = 6$ and incircle radius $r = 6$. | 2 |
| 83 | Find the side $ a $ of a square if area $A = 45$. | 2 |
| 84 | Find the side $ a $ of a square if side $a = 800\, \text{mm}$. | 2 |
| 85 | Find the side $ a $ of a square if side $a = 6\, \text{ft}$ and area $A = 6\, \text{mm}^2$. | 2 |
| 86 | Find the side $ a $ of a square if side $a = 6\, \text{ft}$. | 2 |
| 87 | Find the side $ a $ of a square if side $a = 16$ and area $A = 600$. | 2 |
| 88 | Find the area $ A $ of a square if side $a = 12$ and area $A = 17$. | 2 |
| 89 | Find the diagonal $ d $ of a square if side $a = 80$ and area $A = 45$. | 2 |
| 90 | Find the side $ a $ of a square if side $a = 80$. | 2 |
| 91 | Find the diagonal $ d $ of a square if side $a = 80$. | 2 |
| 92 | Find the side $ a $ of a square if side $a = 6$, area $A = 16$, perimeter $P = 8$, diagonal $d = 4$ and circumcircle radius $R = 14$. | 2 |
| 93 | Find the side $ a $ of a square if side $a = 10$. | 2 |
| 94 | Find the side $ a $ of a square if area $A = 1690000$. | 2 |
| 95 | Find the side $ a $ of a square if side $a = 760$. | 2 |
| 96 | Find the side $ a $ of a square if circumcircle radius $R = 6$. | 2 |
| 97 | Find the incircle radius $ r $ of a square if side $a = 13\, \text{ft}$, area $A = 3.61\, \text{ft}^2$, perimeter $P = 28\, \text{ft}$, diagonal $d = 30.8\, \text{ft}$ and circumcircle radius $R = \sqrt{ 953 }\, \text{ft}$. | 2 |
| 98 | Find the side $ a $ of a square if area $A = 36\, \text{cm}^2$. | 2 |
| 99 | Find the circumcircle radius $ R $ of a square if side $a = 13\, \text{ft}$, area $A = 3.61\, \text{ft}^2$, perimeter $P = 28\, \text{ft}$, diagonal $d = 30.8\, \text{ft}$ and circumcircle radius $R = \sqrt{ 953 }\, \text{ft}$. | 2 |
| 100 | Find the circumcircle radius $ R $ of a square if side $a = 13\, \text{ft}$, area $A = 3.61\, \text{ft}^2$, perimeter $P = 28\, \text{ft}$, diagonal $d = 30.8\, \text{ft}$ and incircle radius $r = 15.43\, \text{ft}$. | 2 |