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find the area. 6 cm a = ? cm² a = πr²

Question

find the area.
6 cm
a = ? cm²
a = πr²

Explanation:

Step1: Substitute the radius into the formula

The formula for the area of a circle is \(A = \pi r^{2}\), and the radius \(r = 6\) cm. Substitute \(r = 6\) into the formula: \(A=\pi\times6^{2}\).

Step2: Calculate \(6^{2}\)

\(6^{2}=6\times6 = 36\), so the formula becomes \(A=\pi\times36\).

Step3: Use \(\pi = 3.14\) for calculation

Substitute \(\pi = 3.14\) into \(A = 36\pi\), then \(A=3.14\times36\).

Step4: Compute the product

\(3.14\times36=(3 + 0.14)\times36=3\times36+0.14\times36=108 + 5.04=113.04\).

Answer:

\(113.04\)