find the area of the shaded region.
fast plz...
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here see figure , if we complete the circle then circle may touch or not touch but questions not mention that .so , we let if we complete all the circle then they touch .
now,
2 × diameter of circle = 14 -6 = 8
diameter = 4 cm
so, radius = 2 cm
and if we join all four points , then square will be formed ,
and edge length of square = 4 cm
now,
area of middle portion = 4 × area of semicircle + area of square
= 4× 1/2π(2)² + (4)² = (8π + 16 ) cm²
now area of shaded portion = area of square - area of without shaded portion
= (14)² -8π -16
= 196 -16 + 8π
=180+ 8π
now,
2 × diameter of circle = 14 -6 = 8
diameter = 4 cm
so, radius = 2 cm
and if we join all four points , then square will be formed ,
and edge length of square = 4 cm
now,
area of middle portion = 4 × area of semicircle + area of square
= 4× 1/2π(2)² + (4)² = (8π + 16 ) cm²
now area of shaded portion = area of square - area of without shaded portion
= (14)² -8π -16
= 196 -16 + 8π
=180+ 8π
deepak93:
but the answer is 154.88 cm^2..
Answered by
6
i hope this will usful to u
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if u want other than shaded region u can get 154.88 cm^2
yes the area of shaded region is this one.
i.e area other than shaded region= 196 -41.14=154.86 cm^2
but how u can say that side of square is 4 and diameter is 2?
inside we have a symmetrical figure
oh then it will be same values(
??
we get square inside then its side length =4 cm
ty
do you understand
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