In the given figure, the area of shaded region is
(A) 462 cm
(B) 308 cm
(C) 616cm²
(D) 154 cm
Answers
Answer:
in this circle
diameter=28 cm
radius=14cm
area of circle =πr^2
=22\7 *14*14
=22*2*14=616cm sq.
now area of unshaded hemisphere
=half of circles area =1\2 *πr^2
=1\2*22\7*14*14
=308cm sq.
now area of small hemispheres ,
as we can see, diameter of small hemispheres is equal to radius of circle which is 14 cm
therefore, diameter of small hemispheres=14cm
radius is=7cm
area of small hemispheres=1\2*22\7*r^2
=1\2*22\7*7*7=77cm sq.
but there are two hemispheres (small)
therefore,area of two hemispheres=77*2=154cm sq.
total area of unshaded region =154+308=462cm sq.
total area of circle=616
remaining area =616-462=154cm sq.
the area of shaded region is 154 cm sq.
hope you like it...
Step-by-step explanation:
Answer:
in this circle
diameter=28 cm
radius=14cm
area of circle =πr^2
=22\7 *14*14
=22*2*14=616cm sq.
now area of unshaded hemisphere
=half of circles area =1\2 *πr^2
=1\2*22\7*14*14
=308cm sq.
now area of small hemispheres ,
as we can see, diameter of small hemispheres is equal to radius of circle which is 14 cm
therefore, diameter of small hemispheres=14cm
radius is=7cm
area of small hemispheres=1\2*22\7*r^2
=1\2*22\7*7*7=77cm sq.
but there are two hemispheres (small)
therefore,area of two hemispheres=77*2=154cm sq.
total area of unshaded region =154+308=462cm sq.
total area of circle=616
remaining area =616-462=154cm sq.
the area of shaded region is 154 cm sq.
hope you like it...