a triangle is cut out of a square which in turn was originally was cut out of a circle .if the diameter of the circle was 4cm , the area of the triangle is at most
Answers
Given : a triangle is cut out of a square which in turn was originally was cut out of a circle .if the diameter of the circle was 4cm ,
To find: area of the triangle is at most
Solution:
Diameter of circle = 4 cm
Square is cut from circle
hence Diameter will be diagonal of Square
=> Diagonal of Square = 4 cm
Side of Square = 4/√2 = 2√2 cm
Area of Square = (2√2)² = 8 cm²
Maximum area of triangle cut from a square = (1/2) of Square area
(as maximum base can be side of Square & maximum height can also be side of a square ) = (1/2) * base * height = (1/2) * side * side
= (1/2) 8
= 4 cm²
area of the triangle is at most 4 cm²
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