Lily has two circle coins Coin A and Coin B.The area of Coin A is 14 of the area of Coin B.If the radius of Coin A is 2cm, what is the radius of Coin B?(Take π as 3.14)

Sure, let's solve this step by step.

1. First, we know that the area of a circle is given by the formula πr², where r is the radius of the circle.

2. We know that the area of Coin A is 1/4 of the area of Coin B. So, we can write this as: Area of Coin A = 1/4 * Area of Coin B.

3. We also know that the radius of Coin A is 2cm. So, we can find the area of Coin A using the formula for the area of a circle: Area of Coin A = π * (2cm)² = 3.14 * 4 = 12.56 cm².

4. Now, we can find the area of Coin B by multiplying the area of Coin A by 4 (since the area of Coin A is 1/4 of the area of Coin B): Area of Coin B = 4 * Area of Coin A = 4 * 12.56 cm² = 50.24 cm².

5. Finally, we can find the radius of Coin B by rearranging the formula for the area of a circle to solve for r: r = sqrt(Area / π) = sqrt(50.24 cm² / 3.14) = 4 cm.

So, the radius of Coin B is 4 cm.