Question

If the circumference of a circle is 100π units, find the diameter of the circle (in units).

Answer 1

We know:
$\text{Circumference of a circle}=2\times \pi \times \text{Radius}$

Circumference of a circle = 100π units

On taking radius to be x units and on putting the values, we get:
$2\times \pi \times x=100\pi$

$\Rightarrow 2\times x=100\pi$

$\Rightarrow x=\frac{100}{2}$

$\Rightarrow x=50\text{units}$

So, the value of the diameter of the circle will be = 2 × 50 = 100 units.