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  1. The perimeter of a semicircular path is 36 m. Find the area of this semicircular path.
    1. 42 sq.m
    2. 54 sq. m
    3. 63 sq.m
    4. 77 sq. m
Correct Option: D

Using Rule 14,
πr + 2r = 36

⇒ r
22
 + 2 = 36
7

⇒ r
22 + 14
 = 36
7

⇒ r =
36 × 7
 = 7 metre
36

Area =
πr²
2

=
1
 ×
22
 × 7 × 7
27

= 77 sq. metre


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