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  1. The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is (Use π = 22/7)
    1. 22 : 21√3
    2. 21 : 22√3
    3. 21 : 22√2
    4. 22 : 21√2
Correct Option: A

Using Rule 6,
Side of the equilateral triangle = x units (let)
According to the question, 3x = 2πr

⇒ x =
2
πr
3

∴ Area of equilateral triangle
=
3
× side²
4

=
3
×
2
πr ²
43

=
3
×
4
π² r²
49

=
π² r²
sq. units
3√3

∴ Required ratio =
π² r²
: π r²
3√3

= π = 3√3
=
22
: 3√3 = 22 : 21√3
7



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