Length of curved part of a semi-circular field is 24 m more than its linear part. Find the area of the semi-circular field?

  1. 660 m2
  2. 672 m2
  3. 638 m2
  4. 693 m2

Answer (Detailed Solution Below)

Option 4 : 693 m2
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Detailed Solution

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GIVEN:

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 m2
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