A particle is moving along a circular path of diameter $$D=14\,\mathrm{cm}$$ with constant speed $$v$$. It takes $$0.02\,\mathrm{s}$$ to complete an arc subtending an angle of $$45^\circ$$ at the center. If $$f$$ is its frequency of revolution, then the correct option is

A

$$v=5.5\,\mathrm{m/s},\ f=6.25\,\mathrm{Hz}$$

B

$$v=5.5\,\mathrm{m/s},\ f=12.5\,\mathrm{Hz}$$

C

$$v=2.75\,\mathrm{m/s},\ f=6.25\,\mathrm{Hz}$$

D

$$v=2.75\,\mathrm{m/s},\ f=12.5\,\mathrm{Hz}$$