Question

Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .

Answer 1

Answer:  Area = 26π + 20 cm²

Step-by-step explanation:

There are 2 large semicircles = 1 large circle

There are 2 small semicircles = 1 small circle

There is 1 rectangle.

Find the Area of each shape above and then find their sum.

1) Large Circle: A = πr²,    d = 10 --> r = 10/2 = 5

                     A = π(5)²

                        = 25π

2) Small Circle: A = πr² ,    d = 2  --> r = 2/2 = 1

                     A = π(1)²

                        = π

3) Rectangle: A = length × width,     L = 10  w = 2

                      A = 10 × 2

                         = 20

Total = Large + Small + Rectangle

         = 25π   +    π      +  20

         = 26π + 20