Question

How many times greater is the area of a circle with a radius of 4in., compared to a circle with a radius of 2in.?

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1 point
2π
4π
2
π
4

Answer 1

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.