Let the radius of the circle be r cm
So, the diameter (d) = 2r [As radius is half the diameter]
We know that,
Circumference of a circle (C) = 2πr
From the question,
Circumference of the circle exceeds its diameter by 16.8 cm
C = d + 16.8
2πr = 2r + 16.8 [d = 2r]
2πr – 2r = 16.8
2r (π – 1) = 16.8
2r (3.14 – 1) = 16.8
r = 3.92 cm
Thus, radius = 3.92 cm
Now, the circumference of the circle (C) = 2πr
C = 2 × 3.14 × 3.92
= 24.64 cm
Hence, the circumference of the circle is 24.64 cm.
