Question

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

A; The plates have the same area.
B; The red plate has a larger than the two yellow plates.
C; The two yellow plates have a larger area than that of the red plate.
D; It is impossible to tell.

Answer 1

Answer:

The area of a red plate with radius 6cm is greater.

Step-by-step explanation:

The general formula for the area of a circle is:

A = πr², where 'r' represents the radius

To compare the areas of the plates, we can set up two different equations:

Red plate: A = π6² or 36π

Yellow plate: A = π3² or 9π

But, there are two yellow plates:

9π + 9π = 18π

36π > 18π, so the area of the red plate is greater.

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Answer 2

The formula for the area of a circle is: πr²

Red plate: A = π6² or 36π

Yellow plate: A = π3² or 9π

But, there are two yellow plates:

9π + 9π = 18π

36π > 18π, so the area of the red plate is greater.