The area of a semicircular field is 77 cm. Find its perimeter.
The perimeter of a semicircle is 72 cm. Find its area
please help me
tomorrow has my exams
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Answered by
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Answer: perimeter = 252 cm; area = 308 sq cm
Step-by-step explanation:
Area of a semicircle = πr²/2 where r=radius of the semicircle
=> πr² = 77*2 = 154
=> r² = 154 * (7/22) = 49 cm
Perimeter of a semicircle = 2r +(2πr/2) = 2r + π4 = r*(2+π)
=> perimeter = 49 * (2 +22/7) = 49 * (36/7) = 36 * 7 = 252 cm
Given
Perimeter of the semicircle = r(2+π) = 72
=> r * (36/7) = 72
=> r = 72 * (7/36)
=> r = 14 cm
Area of a semicircle = πr²/2
=> area = (22/7) * 14 * 14 * (1/2) = 22 * 14
=> area = 308 sq cm
Please brainlist my answer, if helpful!
Answered by
1
first ans = 36 cm
second ans = 308
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