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The circumference of a triangle is 24 cm and the circumference of its in-circle is 44 cm. Then the area of the triangle is (taking π = 22/7 )
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- 56 square cm.
- 84 square cm.
- 48 square cm.
- 68 square cm.
- 56 square cm.
Correct Option: B
The centre of incircle is point ‘O’.
OD = OE = OF = r
∴ 2πr = 44
| ⇒ 2 × | × r = 44 | |
| 7 |
| ⇒ r = | = 7 cm. | |
| 2 × 22 |
∴ Area of ∆ABC
| = | (AB + BC + CA) × r | |
| 2 |
| = | × 24 × 7 = 84 square cm. | |
| 2 |
