# What is the area of a circle that has a diameter of 24?

Jul 31, 2015

approxcolor(blue)(452 cm^2

#### Explanation:

The area of a circle is given by formula:
color(blue)(pir^2
Where,
$\pi$ has a constant value of $3.14$
$r$ denotes the radius of the circle.

The radius of the circle is , half the diameter = $\frac{24}{2} = 12 c m$ (assuming the unit to be in cm)

The area $= \pi {r}^{2} = 3.14 \times {\left(12\right)}^{2} c {m}^{2}$

$= 3.14 \times \left(144\right)$

$= 452.16 c {m}^{2}$

approxcolor(blue)(452 cm^2