find the area of the shaded region in the given figure ...
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GIVEN:
Radius of the bigger semi circle = 14 cm
Radius of the each smaller semi circle = 7 cm
- Area of semicircle = ½ πr²
AREA OF BIGGER SEMICIRCLE = ½ (22/7)× 14²
= ½ × 22/7 × 14 ×14
= 11 × 2×14
= 22×14
= 308 cm²
AREA OF 2 SMALLER SEMICIRCLES = 2 ×½ (22/7) × 7²
= 22 × 7
= 154 cm²
Area of the shaded region = Area of bigger semicircle +
- Area of 2 smaller semicircles
AREA OF THE SHADED REGION = 308+ 154
= 462 cm²
Hence,
the Area of the shaded region is 462 cm².
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