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If the diameter of a circle is $1$ cm, then what is the area of the circle?

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{cm}^{2}

\frac{π}{4} {cm}^{2}

{cm}^{2}

None of the above

answer is B.

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Detailed Solution

We have been given,
Diameter (d) =1cm.
As we know, the formula to calculate area of a circle is

π r^{2}

.
Calculating radius,
Radius,

r =

\frac{d}{2}

\Rightarrow \frac{1}{2}

cm
Calculating the area,
Area of circle =

π r^{2}

\Rightarrow

π {(\frac{1}{2})}^{2}

\Rightarrow \frac{π}{4} {cm}^{2}

.
Therefore, the required area is

\frac{π}{4}

{cm}^{2}

.
Hence, option 2 is correct.

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