Question

If the circumference of a circle exceeds its diameter by 30 cm, find the radius of circle​

Answer 1

Answer:

7 cm

Step-by-step explanation:

$diameter = d$

$circumference = \pi \: d$

$\pi \: d = d + 30 \\ \pi \: d - d = 30 \\ d(\pi - 1) = 30 \\ d = \frac{30}{\pi - 1} \\ d = 14.008$

$radius = \frac{d}{2} \\ r = \frac{14.008}{2} \\ r = 7.004$