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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)
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3 6 metres 11 -
5 6 metres 11 -
6 6 metres 11 -
6 2 metres 11
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Correct Option: C
Using Rule 14,
Let the radius of the semi – circle ber metre.
According to the question, πr + 2r = πr²
= π + 2 = × | ⇒ 2π + 4 = πr | |
2 |
r = | = 2 + | = 2 + | = 2 + | = | |||||
π | π | 22 | 11 | 11 |
∴ Diameter = | = | = 6 | metres | |||
11 | 11 | 11 |