Find area of the shaded region in adjoining figure.
(Use : a = 3.14)
Answers
Step-by-step explanation:
area outer boundaries = l × b
=12m×26m
=312m²
area of shaded region=L×B
=3m×4m
=12m²
area outer boundaries-area of shaded region
= 312m²-12m²
= 300m²
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Solution .
area of the rectangular portion
=(26*12)cm²=312 cm²
now..each oval shape portion ....i mean half circle portion (see in figure)...radius is
=[12-(4+4)]/2=2cm
therefore...
area of the internal rectangular portion(see in fig)
=4×[26-{(3+2)+(3+2)}]
=4×[16]
=64 cm²
now area of half circles(two half circles of same radius will make a complete circle)
=π*2²
=4π cm²
therefore area of the shaded portion is
=312-[64+4π]
=312-(64+4*3.14)
=312-76.56
=235.44 cm²
