Question

The perimeters of a square and circular farm are farm .Area of the square is12100 meter, find the area of the circular farm

Answer 1

Answer:

Area of the circular farm is 15400 sq.m.

Step-by-step explanation:

Given:

Area of the square = 12100 sq. m.

Let length of each side of square = x m.

As we know that,

Area of square = $side^{2}$

∴ Side = $\sqrt{Area of square}$

            = $\sqrt{12100}$ = 110 m.

Perimeter of square = 4 × side

                                  = 4 × 110 =440 m.

According to the question,

Perimeter of square = circumference of circular farm = 440 m.

Circumference of circle = $2\pi r$           (where r is the radius of the circle)

                              440 = 2 × (22/7) × r          ( $\pi$ = 22/7)

                                r = ( 440 × 7 ) /(2 × 22)

                                  = 3080 /44= 70 m.

Area of circle = $\pi r^{2}$

                      = ( 22 / 7) × $70^{2}$

                      = 22 × 70 × 10= 15400 sq.m.