Correct Answer - Option 2 : 1 ∶ 16

**Given:**

Ratio of the radius of the circles = 1 ∶ 4

**Formula used:**

Area of the circle = πr^{2}

**Calculation:**

Let the radius of the circles be x and 4x units

Area of circle_{1} = πx^{2}

Area of circle_{2} = π(4x)^{2}

Ratio of areas = πx2 ∶ π(4x)2

⇒ Ratio of area = x^{2} ∶ 16x^{2}

**∴ Ratio of the area of the two circles is 1 ∶ 16**