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Question
question
the diameter of a circle is 18 in. find its area in terms of π.
answer
attempt 1 out of 2
a = in²
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π
Step1: Find the radius
The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 18\) in, so \( r=\frac{d}{2}=\frac{18}{2}=9\) in.
Step2: Use the area formula
The area formula of a circle is \( A=\pi r^{2}\). Substitute \( r = 9\) into the formula: \( A=\pi\times(9)^{2}\).
Step3: Calculate the result
\( A=\pi\times81 = 81\pi\)
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\(81\pi\)