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A semi-circular field of radius 14 m needs to be fenced with a wire. Find the length of wire required.
Question

A semi-circular field of radius 14 m needs to be fenced with a wire. Find the length of wire required.

A.

80 m

B.

46 m

C.

44 m

D.

72 m

Correct option is D

Given:

Shape: Semi-circle

Radius (rrr) = 14 m

Value of π\piπ = 3.14

Formula used:

The perimeter of a semi-circle:

Perimeter = πr + 2r

Solution:

Calculate the curved portion of the semi-circle:

πr = 3.14×14 = 43.96m

Add the straight diameter:

2r = 2×14 = 28m

Total perimeter:

Perimeter = πr +2r = 43.96 + 28 =71.96m 

The calculated length of the wire required was approximately 71.96 m, which rounds to 72 m.

Thus, correct option is (d)

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