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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
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3√3 - π cm² 2 -
√3 - 3 π cm² 2 -
√3 - π cm² 2 -
π - √3 cm² 2
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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 |