c)
U
14 is divisible by 111
A doorway is decorated as shown in the given figure the
semicircle is oflength 84cm The centres of 3 equals
ABC is an isosceles triangle with AB-AC if BO-O
wn in the given figure. There are four semi circles BC, the diameter of the larger
The centres of 3 equal semi circles lie on BC and they have radius 14cm each
31
the shaded region.
AB-AC if BO=OC, find the
(Use T = 22
2x42842
Answers
1932 cm² is the area of the shaded region
Step-by-step explanation:
Diameter of Larger Semicircle = 84 cm
Radius = 84/2 = 42 cm
Area of Larger Semi circle = (1/2) π * (42)²
π = 22/7
= (1/2) (22/7) * 42²
= 2772 cm²
Radius of Small circle = 42/3 = 14 cm
Area of 3 Small Semi circle = 3 (1/2) (22/7) * (14)²
= 924 cm²
ABC is an isosceles triangle with AB = AC
=> AO ⊥ BC
AO = 42 cm radius
Area of Δ ABC = (1/2) * 84 * 42
= 1764 cm²
area of the shaded region = Area of Larger Semi circle + Area of 3 Small Semi circle - Area of Δ ABC
= 2772 + 924 - 1764
= 1932 cm²
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