Question

What is the area of a circle with a diameter of 4x? Please I need help rn

Answer 1

4πx² square units

Step-by-step explanation:

Area of a circle

• [ A = πr² ]

The formula uses the radius of the circle, but we have the diameter. Remember the relation :

• Diameter = 2 x Radius
• 4x = 2 x Radius
• Radius = 4x/2 = 2x

Now, we can solve.

• ⇒ A = πr²
• ⇒ A = π(2x)²
• ⇒ A = 4πx² square units

Answer 2

12.57x² units²

Step-by-step explanation:

area of circle: πr² ["r" denotes radius]

diameter: 2r

Given,

diameter: 4x

radius: 4x/2 = 2x

Area of circle:

πr²

π(2x)²

π(4x²)

4πx²

12.57x²