Question

Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as decimal.

Answer 1

Answer:

27π units^2

Step-by-step explanation:

This shape is exactly 3/4 of a full circle.  Thus, if we find the area of a full circle with radius 6 units, we multiply the result by 3/4 to obtain the area of the figure shown.

A of full circle = πr²

In this particular case,

A of full circle = π(6 units)² = 36π units^2

Then the area of the given figure is

(3/4)(36π) units^2, or 27π units^2.