# How do you find diameter,radius, and area of a circle if the circumference is 43.96?

Aug 1, 2015

Radius: color(blue)(r=7cm
Diameter: color(blue)(d= 14cm
Area:approxcolor(blue)(154cm^2

#### Explanation:

The formula for the circumference of a circle is :

$\textcolor{b l u e}{2 \pi r} = 43.96 c m$ (assuming the unit to be in cm).

$\pi$ has a constant value of $3.14$

$\textcolor{b l u e}{2 \pi r} = 2 \cdot \left(3.14\right) \cdot r = 43.96 c m$

$r = \frac{43.96}{6.28} c m$

The radius, color(blue)(r=7cm

The diameter = $2 \cdot$ (radius)
=2*7 =color(blue)( 14cm

The area of a circle is given by formula:
$\textcolor{b l u e}{\pi {r}^{2}} = 3.14 \cdot {\left(7\right)}^{2}$

The area is approxcolor(blue)(154cm^2