-
ABC is an equilateral triangle of side 2 cm. With A, B, C as centre and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is
-
-

3√3 - π 
cm² 2 -

√3 - 3 π 
cm² 2 -

√3 - π 
cm² 2 -

π - √3 
cm² 2
-
Correct Option: C
Using Rule 17,
Each angle of the triangle = 60°
Required area of the three sectors
| = 3 × | × π(i)² | |
| 360 |
| = | cm² | |
| 2 |
| Area of triangle = | × 4 = √3cm² | |
| 4 |
| ∴ Required area = | ![]() | √3 - | ![]() | cm² | |
| 2 |