Question

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

Answer 1

61600

Explanation:

P=2πr

880=2*
`(22)/(7) *r`

`(7*880)/(44) =r\\r=140\\A=\pi r^(2) \\A=(22)/(7) *140^(2) \\A=61600`

Answer 2

61600 m²

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 =(880m)/(2\pi)`

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

`\sf\longrightarrow r =(880m)/(2*(22)/(7))`

Simplify ,

`\sf\longrightarrow r =( 880m* 7)/(2* 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 = (22)/(7) * (140m)^2`

Simplify ,

`\sf\longrightarrow Area = (22)/(7) * 140m* 140m`

Simplify ,

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

Henceforth the area of the circle is 61600m² .