Question

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters arrowBoth radius: 4.5 meters arrowBoth diameter: 6 meters arrowBoth radius: 2 meters

Answer 1

area: 28.26 square meters = diameter of 6

Answer 2

A)
`area=63.585\ m^(2)`,
`r=4.5\ m`

B)
`area=28.26\ m^(2)`,
`D=6\ m`

C)
`area=120.7016\ m^(2)`,
`D=12.4\ m`

D)
`area=12.56\ m^(2)`,
`r=2\ m`

E)
`area=482.8064\ m^(2)`,
`r=12.4\ m`

F)
`area=113.04\ m^(2)` ,
`r=6\ m`

Explanation:

we know that

The area of a circle is equal to

`A=\pi r^(2)`

solve for r

`r=\sqrt{(A)/(\pi)}`

Verify each case

case A)
`area=63.585\ m^(2)`

substitute in the formula

`r=\sqrt{(63.585)/(\pi)}=4.5\ m`

case B)
`area=28.26\ m^(2)`

substitute in the formula

`r=\sqrt{(28.26)/(\pi)}=3\ m`

the diameter is equal to

`D=2r=2*3=6\ m`

case C)
`area=120.7016\ m^(2)`

substitute in the formula

`r=\sqrt{(120.7016)/(\pi)}=6.2\ m`

the diameter is equal to

`D=2r=2*6.2=12.4\ m`

case D)
`area=12.56\ m^(2)`

substitute in the formula

`r=\sqrt{(12.56)/(\pi)}=2\ m`

case E)
`area=482.8064\ m^(2)`

substitute in the formula

`r=\sqrt{(482.8064)/(\pi)}=12.4\ m`

case F)
`area=113.04\ m^(2)`

substitute in the formula

`r=\sqrt{(482.8064)/(\pi)}=6\ m`