Answer:
4 times
Explanation:
The area of a circle is given by the formula A = πr², where "r" is the radius of the circle.
Let's calculate the areas of the two circles:
For the circle with a radius of 4 inches:
=> A₁ = π(4)² = 16π in²
For the circle with a radius of 2 inches:
=> A₂ = π(2)² = 4π in²
To find the ratio of the areas, we divide the area of the circle with a radius of 4 inches by the area of the circle with a radius of 2 inches:
=> A₁/A₂ = (16π) / (4π) = 4
Therefore, the area of a circle with a radius of 4 inches is 4 times greater than the area of a circle with a radius of 2 inches.