18. An architect designs a garden in society.
The garden is in the shape rectangle
inscribed in a circle of radius 10m as
shown in given figure.
Based on the above information answer
the following
(iii) The maximum value of area A is
(a) 100 m2
(b) 200 m2
(c) 400 m2
(d) 1600 m2
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Given : An architect designs a garden in society. The garden is in the shape rectangle inscribed in a circle of radius 10m as shown in given figure.
To Find : Maximum Value of area of rectangle
(a) 100 m²
(b) 200 m²
(c) 400 m²
(d) 1600 m²
Solution:
Maximum Value of area of rectangle will be when its a square
Radius of circle = 10 m
=> Diameter of circle = 2 * 10 = 20 m
=> Side of Square = 20/√2
= 10√2 m
Area = (10√2)² = 200 m²
The maximum value of area A is 200 m²
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