Question
Download Solution PDFLength of curved part of a semi-circular field is 24 m more than its linear part. Find the area of the semi-circular field?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
Length of curved part of a semi-circular field is 24 m more than its linear part
CONCEPT:
Mensuration
FORMULA USED:
Length of curved part of semicircle = πr
Length of linear part of semicircle = 2r
CALCULATION:
Let the radius of semi-circular field = ‘r’ m
So, length of curved part of the field = πr
And length of linear part of the field = 2r
So,
πr – 2r = 24
⇒ (22r/7) – 2r = 24
⇒ r = 21 m
So, the area of semi-circular field = (1/2) × (22/7) × (21)2 = 693 m2Last updated on Jul 21, 2025
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