What is the area of a circle with a diameter of 7 cm?

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Answer 1 · 2015-08-01T15:27:28

$\approx 38 c m^{2}$ $approxcolor(blue)(38cm^2$

The area of a circle is given by formula:
$π r^{2}$ $color(blue)(pir^2$

Where,
$π$ $pi$ has a constant value of $\approx 3.14$ $approx3.14$
and $r$ $r$ denotes the radius.

The radius of the circle is half the diameter $= \frac{d}{2} = \frac{7}{2} = 3.5 c m$ $=d/2 = 7/2 = 3.5cm$

The area $= π r^{2} \approx 3.14 \times {(3.5)}^{2}$ $= pir^2 approx 3.14 xx (3.5)^2$

$= 3.14 \times (12.25)$ $=3.14 xx (12.25)$

$= 38.465$ $=38.465$ $c m^{2}$ $cm^2$

$\approx 38 c m^{2}$ $approxcolor(blue)(38cm^2$