Answer:
Area = π*r^2
Area = 113.1 units^2
Explanation:
The figure drawn is a circle. The ancient Greeks devised an approximation of the area of circles by dividing the circle into a series of small triangles with their peaks at the center of the circle and their bases are formed by the curve of the circle. Although this means there is an error because the circumference is not a straight line, they made the triangles small enough so that the error would be minimized. They found that the area of the circle was related to it's radius by the expression: Area = π*r^2.
Without retracing their steps, let's simply use the formula that is now the accepted measure of the area of a circle. Pi (π) is 3.14 to 3 decimal places. Far more accurate values are known, but 3.14 offers reasonable accuracy, assuming this is not intended for space flight.
Area = π*r^2
Area = 3.34*(6)^2
Area = 113.1 units^2