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

Aug 1, 2015

approxcolor(blue)(38cm^2

#### Explanation:

The area of a circle is given by formula:
color(blue)(pir^2

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

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

The area $= \pi {r}^{2} \approx 3.14 \times {\left(3.5\right)}^{2}$

$= 3.14 \times \left(12.25\right)$

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

approxcolor(blue)(38cm^2