Question

The adjacent figure consist of four small semi -circles of equal radii and two big semi-circles of equal radii (each 42cm).Find the area of shaded region????

Answer 1

given big semi circles radius =42 cm
small semi circles radius=42/2=21 cm
let 1, 2, 3, 4 are shaded region from the diagram
1----) area of big semi circle-area of small semi circle
-----) pie r sq./2-pie r sq./2=pie/2(42 sq.-21 sq)----)22/7*2(42 sq-21 sq)
same for second one also
3-----) area of small semi circle =pie r sq. /2= pie/2(21 sq.)
same for 4th one
area of shaded region=1+2+3+4
=22/14-(42 sq.-21 sq.)+22/14(42sq. -21 sq)+pie/2(21 sq.)+ pie/2(21 sq.)
22/7(1764-441)+22/7*21*21
22(1323/7) 22(63)
22(189+63)
22(252)
=5544
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