Question

which is greater, the area of a red plate that has a radius of 6cm, or the area of two yellow plates with a radius of 3cm each

Answer 1

They should be equal if I’m not mistaken

Answer 2

The red plate's area is bigger

Explanation:

To know the area of the plates, we'll need to use A =
`\pi`
`r^(2)`

Therefore, the radius of the red plate is:

A =
`\pi 6^(2)`

A =
`\pi`36

A = 113.1
`cm^(2)`

And the area of the yellow plates is:

A = 2(
`\pi 3^(2)`)

A = 2(
`\pi`9)

A = 2(28.27)

A = 56.54
`cm^(2)`

Therefore, the red plate's area is bigger since:

113.1
`cm^(2)` > 56.54
`cm^(2)`