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