QUESTION IMAGE
Question
the diameter of a circular dinner plate is 25 centimeters. which is the approximate area, in square centimeters, of the dinner plate?
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o 491
Step1: Find the radius.
The radius $r$ of a circle is half of the diameter $d$. Given $d = 25$ cm, so $r=\frac{d}{2}=\frac{25}{2}$ cm.
Step2: Use the area formula.
The area formula of a circle is $A=\pi r^{2}$. Substitute $r = \frac{25}{2}$ into the formula: $A=\pi\times(\frac{25}{2})^{2}=\pi\times\frac{625}{4}$. Taking $\pi\approx3.14$, we have $A\approx3.14\times\frac{625}{4}=\frac{1962.5}{4}=490.625\approx491$ square - centimeters.
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491