A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outermost ripple is given by where is time in seconds after the pebble strikes the water.The area of the outermost circle is given by the function Find and interpret
A) represents the area of the circle at time
B) represents the radius of the circle at time
C) represents the radius of the circle at time
D) represents the area of the circle at time
E) represents the area of the circle at time

Question

A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outermost ripple is given by  where  is time in seconds after the pebble strikes the water.The area of the outermost circle is given by the function  Find and interpret 
A) represents the area of the circle at time 
B) represents the radius of the circle at time 
C) represents the radius of the circle at time 
D) represents the area of the circle at time 
E) represents the area of the circle at time

Quizplus · Accepted Answer

The function 11ea89fe_4b44_ccf8_9fff_9b65a8409146_TB2036_11 gives us the area of the circle at any given time, while the function 11ea89fe_4b44_a5e6_9fff_e7820e8ae1ee_TB2036_11 gives us the radius of the outermost circle at any given time. Therefore, to find the area of the outermost circle at a specific time, we need to square the value of the radius function and multiply it by pi. 
Also, the choice D matches this criteria by giving us the area of the circle at a specific time, which is represented by the function 11ea89fe_4b45_4233_9fff_951de95e9925_TB2036_11.

A Pebble Is Dropped into a Calm Pond, Causing Ripples