Question

the perimeter of a circular park is 880 m find the area of the park​

Answer 1

Answer:

61600

Step-by-step explanation:

P=2πr

880=2*$\frac{22}{7} *r$

$\frac{7*880}{44} =r\\r=140\\A=\pi r^{2} \\A=\frac{22}{7} *140^{2} \\A=61600$

Answer 2

Answer:

61600 m²

Step-by-step explanation:

$\pink{\frak{Given}}\begin{cases}\textsf{ There is a circular park.}\\\textsf{The perimeter of the circular park is 880m ^2 .}\end{cases}$

Here we are given that the perimeter of the circular park is 880m .

• As we know that the perimeter of a circle is given by 2πr , where r is the radius of the circle .

Using this formula , we have ,

$\sf\longrightarrow 2\pi r = 880m$

Divide both sides by 2π ,

$\sf\longrightarrow r =\dfrac{880m}{2\pi}$

Plug in the value of π which is nearly 22/7 .

$\sf\longrightarrow r =\dfrac{880m}{2\times\frac{22}{7}}$

Simplify ,

$\sf\longrightarrow r =\dfrac{ 880m\times 7}{2\times 22}$

Simplify ,

$\sf\longrightarrow \bf r = 140m$

• Now we know that the area of the circle is πr² , where r is the radius of the circle , so that ;

$\sf\longrightarrow Area = \pi r^2$

Substituting the respective values ,

$\sf\longrightarrow Area = \dfrac{22}{7} \times (140m)^2$

Simplify ,

$\sf\longrightarrow Area = \dfrac{22}{7} \times 140m\times 140m$

Simplify ,

$\sf\longrightarrow \boxed{\bf Area = 61600 m^2}$

Henceforth the area of the circle is 61600m² .