Question

The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?

Answer 1

Hence the area of a circle is 2466
`m^(2)`

Explanation:

Review of the question

`Given,`

• The circumference of a circle is double the perimeter of square
• Area of the square is 484
  `cm^(2)`

To Find:

Area of the circle

,

Area of square =
`sideXside`

`484`=
`side^(2)`

`√(484)=side^(2)`

`22 = side`

Perimeter of square =
`4Xside`

`4X22`

`88`

Circumference of the circle = Perimeter of square x 2

Circumference of the circle = 88x2

Circumference of the circle = 176

Now we need to find the radius of the circle

`2\pi r=176`

`2X3.14Xr=176\\6.28Xr=176\\r=(176)/(6.28) \\r=28.025477707`

Area of the circle=
`\pi r^(2)`

`3.14X`
`(28.025477707)^(2)`

`2466`

Hence the area of a circle is 2466
`m^(2)`

Answer 2

The circumference of a corcle is double the perimeter of square having area 484 m^2. what is the area of the circle. Ans:2464 cm^2.