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  1. The perimeter (in metres) of a semicircle is numerically equal to its area (in square metres). The length of its diameter is (take π = 22/7)
    1. 3
      6
      metres
      11
    2. 5
      6
      metres
      11
    3. 6
      6
      metres
      11
    4. 6
      2
      metres
      11
Correct Option: C

Using Rule 14,
Let the radius of the semi – circle ber metre.
According to the question, πr + 2r = πr²

= π + 2 = ×
πr²
⇒ 2π + 4 = πr
2

r =
2π + 4
= 2 +
4
= 2 +
28
= 2 +
14
=
36
ππ221111
∴ Diameter =
2 × 36
=
72
= 6
6
metres
111111



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