Do the functions in the table represent exponential growth or exponential decay?

exponential growth

exponential decay

exponential growth

exponential decay

AE= 6.9

Shaded area= 60.6 (approximately)

Step-by-step explanation:

Triangle AEO is a right angled triangle. Length of EO is the radius which is 4cm and OA= 8cm

Using Pythagoras calculate length of AE.

AE^2 = AO^2- EO^2

AE = square root of ( 64- 16)

AE = 6.9 cm

Length EO is half of the height of the rectangle so EO X 2 is the height which is 8cm.

AE x 2 is the width of the rectangle so 6.9 x 2 = 13.8cm

Area of rectangle = width x height

Area of rectangle = 13.8 x 8 = 110.9

Then calculate area of the circle:

Area of circle = pi x r^2

4^2pi= 16pi

Area of shaded = area of rectangle - area of circle= 110.9- 16pi