Answer:
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
