Respuesta :
Step-by-step explanation:
The question says "The area of a circular plot is 98 square meters and the diameter of another plot is 10 meters. In which of the two can a person travel a greater distance in a straight line? "
Area of a circle is given by :
[tex]A=\pi r^2[/tex]
r is radius
Put A = 98 in above formula and find r
[tex]r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{98}{\pi}} \\\\r=5.58\ m[/tex]
Distance covered on a circular path,
[tex]d_1=2\pi r\\\\d_1=2\pi \times 5.58\\\\=35.06\ m[/tex]
Diameter of another circle, d = 10 m
Radius, r = 5 m
Distance covered on a circular path,
[tex]d_2=2\pi r\\\\d_2=2\pi \times 5\\\\=31.41\ m[/tex]
Hence, in a circle of area 98 square meter, a person can cover greater distance.
