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4. Is the area of the largest circle that can be drawninside a rectangle of length a cm and breadth b cm(a> b) is b2 cm"? Why?

Answer»

solution:-we know that Area of circle = πr²andin a rectangle length is great than it's breadth [ a> b] andwe can only draw a circle inside a rectangle with circle's diameter equal to breadth.

=> d = breadth of rectangle = b

=> 2r = b => r = b/2 Andthe Area of circle with radius (b/2) is

= πr² = π×(b/2)²

=> b²π/ 4 sq. unit.



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