Question

the adjacent figure consists of four small semi circles of equal radii and two big circles of equal radii ( each 42cm ) find the area of the shaded region.

Answer 1

Answer:

Area of shaded region is 5544 cm^2

Step-by-step explanation:

From the given figure, we can see that there are 2 large shaded semicircle  and 2 small shaded semicircle

Let R be the radius of large semicircle and r be the radius of small semicircle.

Area of large semicircle

Area = (piR^2)/2

There are two large semi circle,

therefore total area = 2 x (piR^2)/2 = piR^2

Area of small semicircle

Area = (pir^2)/2

There are two large semi circle,

therefore total area = 2 x (pir^2)/2 = pir^2

Area of shaded region

Area = [piR^2 -pir^2] - pir^2

join all the shaded region we get a circle with radius 42

Area of circle with radius 42 = πR^2=22/7 x 42 x 42 = 5544 cm^2

Answer 2

Answer:

Step-by-step explanation: