The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm

^{2}, then the radius of the ball is-
**A.**

(frac{2P}{pi}) -
**B.**

(frac{P}{sqrt{pi}}) -
**C.**

(frac{P}{sqrt{2pi}}) -
**D.**

2(frac{P}{pi})

##### Correct Answer: Option D

##### Explanation

Surface area of a sphere = 4(pi)r^{2}

(frac{1}{16}) of 4(pi)r^{2}

= (frac{pi r^2}{4})

P = (frac{pi r^2}{4})

r = 2(frac{P}{pi})