The circumference of a circle exceeds its diameter by 45 cm.

Let the radius of the circle be r.
Now,
Circumference = Diameter + 45

$\Rightarrow 2 \pi r=2 r+45$

$\Rightarrow 2 \pi r-2 r=45$

$\Rightarrow 2 r\left(\frac{22}{7}-1\right)=45$

$\Rightarrow 2 r \times \frac{15}{7}=45$

$\Rightarrow r=10.5 \mathrm{~cm}$

∴ Circumference = Diameter + 45 = 2(10.5) + 45 = 66 cm
Hence, the circumference of the circle is 66 cm.