Answer any one of the following questions. a) Critically observe the following figures (i) & (ii) and find the area of shaded partion of the two figures.
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The area of circle is 50.24 cm²
Step-by-step explanation:
Let ‘r’ be the radius of a circle and ‘a’ be the side of a hexagon.
Given :
Area of hexagon = 24√3 cm²
Area of hexagon = 3√3/2 a²
24√3 = 3√3/2 a²
24 × 2 = 3a²
48 = 3a²
a² = 48/3
a² = 16
a = √16
a = 4 cm
Side of a hexagon = 4 cm
Radius of circle,r = Side of a hexagon = 4 cm
[In regular hexagon inscribed in a circle, its side is equal to the radius of a Circle]
Radius of circle,r = 4 cm
Area of circle,A = πr²
A = 3.14 × 4²
A = 3.14 × 16
A = 50.24 cm²
Area of circle = 50.24 cm²
Hence, the area of circle is 50.24 cm²
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