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  1. 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
    1. 3√3 -
      π
      cm²
      2
    2. 3 -
      3 π
      cm²
      2
    3. 3 -
      π
      cm²
      2
    4. π
      - √3 cm²
      2
Correct Option: C

Using Rule 17,

Each angle of the triangle = 60°
Required area of the three sectors

= 3 ×
60
× π(i)²
360

=
π
cm²
2

Area of triangle =
3
× 4 = √3cm²
4

∴ Required area = 3 -
π
cm²
2



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