f the area of a semi-circular field is 15400 sq m, then perimeter of the field is(a) m160 2 (b) m260 2(c) m360 2 (d) m460 2
Question
If the area of a semi-circular field is 15400 sq m, then perimeter of the field is
(a) m160 2
(b) m260 2
(c) m360 2
(d) m460 2
Solution
The area of a semi-circle is given by the formula (1/2)πr².
Given that the area is 15400 sq m, we can set up the equation:
(1/2)πr² = 15400
Solving for r (radius), we get:
r² = 15400 / (1/2)π
r² = 15400 * 2/π
r² = 9801.78
Taking the square root of both sides, we get:
r = 99 m (approximately)
The perimeter of a semi-circle is given by the formula πr + 2r.
Substituting r = 99 m into the formula, we get:
Perimeter = π99 + 299
Perimeter = 311.49 + 198
Perimeter = 509.49 m
So, the perimeter of the field is approximately 510 m. However, none of the options (a) m160 2 (b) m260 2(c) m360 2 (d) m460 2 match this result. There might be a mistake in the options provided.
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