This quarter circle has a radius of 7 centimeters. what is the area of this figure? use 3.14 for pi. enter your answer as a decimal in the box. round your answer to the nearest hundredth.

A quarter circle, is as what it name suggests, 1/4 of a circle. To get its area, you must get first the area of the circle as a whole - 
A = pi * r^2
   = 3.14 * 7cm^2
   = 3.14 * 49cm^2
   = 153.86cm^2 area of the whole circle
Then, divide the area of the whole circle by 4.
153.86cm^2 / 4 = 38.465cm^2
Therefore, the area of a quarter circle is 38.47cm^2