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question the diameter of a circle is 26 cm. find its area to the neares…

Question

question
the diameter of a circle is 26 cm. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 26\) cm, so \(r=\frac{d}{2}=\frac{26}{2}=13\) cm.

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 13\) into the formula: \(A=\pi\times(13)^{2}=\pi\times169\). Using \(\pi\approx3.14159\), then \(A\approx3.14159\times169 = 530.92871\).

Answer:

\(531\)