You toss a pebble into a pool of water and watch the circular ripples radiate outward. you find that the function r (x) = 12.5x describes the radius r, in inches, of circle x seconds after it was formed. the function a (x) = πx2 describes the area a of a circle with radius x. find to the nearest whole number.

Question

Jada Simon

Mathematics

5 August, 10:17

You toss a pebble into a pool of water and watch the circular ripples radiate outward. you find that the function r (x) = 12.5x describes the radius r, in inches, of circle x seconds after it was formed. the function a (x) = πx2 describes the area a of a circle with radius x. find to the nearest whole number.

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Benitez · Answer 1

The area will be given by:

a (x) = πx2

The radius is given by the function r (x) = 12.5x

hence the area will be:

a (x) = π (12.5x) ²

a (x) = 156.25πx^2