-
The length of each side of an equilateral triangle is 14√3 cm. The area of the incircle (in cm²), is
-
- 450
- 308
- 154
- 77
- 450
Correct Option: C
BD = DC = 7√3 cm
AD = √AB² - BD²
= √(14√3)² - (7√3)²
= √(14√3 + 7√3)(14√3 - 7√3)
= √21√3 × 7√3 = 21 cm
| ∴ OD = Radius of circle = | × 21 = 7cm | |
| 3 |
∴ Area of circle = πr&sub2;
| = | × 7 × 7 = 154 sq. cm. | |
| 7 |
