Question

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the top of a coin has a radius of 2 cm.
what is the area of the top of the coin?
4π cm²
2π cm²
4 cm²
2 cm²

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 2\space cm\), substitute into \(A=\pi r^{2}\). So \(A=\pi\times(2)^{2}\).

Step3: Calculate the value

\(A=\pi\times4 = 4\pi\space cm^{2}\)

Answer:

\(4\pi\space cm^{2}\) (the first option)