27.
A wire of length 2 mtr is bent to form a circle, a triangle, a rectangle and a
polygon. State which figure possesses greatest area?
(a) Circle
(b) Polygon (c) Triangle (d) rectangle
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Answers
Answer:
the answer is circle the greatest wire bent
Answer:
(a) Circle
Step-by-step explanation:
Given that , a wire of length 2 m is bent to form a circle , a triangle, a rectangle and a polygon.
To find the maximum area is occupied in which figure.
(a) circle
making circle by bending the wire.
circumference of circle = 2πr
2πr = 2m
r = 1/π m
area of circle , πr² = π ( 1/π )²
= π × (1/π²)
= 1/π
= 7/22 m²
= 0.3181 m²
(b) a triangle
perimeter of triangle = (a+b+c)
or form equilateral triangle perimeter = 3a
3a = 2m
a = 2/3 m
Area of equilateral triangle = (√3/4)a²
= 0.1924 m²
After comparing , we get that area of circle is more as compare to all figure.
Therefore, the right answer is (a) Circle.
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