Total Area of a Circle is given by,
[tex]\pi \: {r}^{2} [/tex]
Where r is the circle's radius = 4m and = 3.14
Also, a circle contains an angle of 360°. The segment is enclosed within a right angle or 90° angle. Therefore, we need to find the one-fourth of the total area.
Now,
[tex](1 \div 4) \: \times \: (3.14 \times {5}^{2} ) \: = 19.625 \: sq \: m \: = \: 19.63 \: sq \: m[/tex]
The answer is 19.63 sq m.
