MENSURATION AREA PROBLEMS WITH INSCRIBED SHAPES WORKSHEET

Problem 1 :

The area of the circle that can be inscribed in a square of side 6 cm is :

a) 36π cm²     (b) 18π cm²  (c) 12π cm²      (d) 9π cm² 

Solution

Problem 2 :

The area of the square that can be inscribed in a circle of radius 8 cm is :

(a) 256 cm²      (b) 128 cm²      (c) 64 2 cm²     (d) 64 cm² 

Solution

Problem 3 :

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is :

a) r² sq.units     b) (1/2) r² sq.units   c) 2r² sq.units

d) √2 r² sq.units

Solution

Problem 4 :

The circumference of the circle is 100 cm. Find the side of the square inscribed in the circle

Solution

Problem 5 :

The area of the circle that can be inscribed in a square of the side 6 cm is 

Solution

Problem 6 :

In the figure, a circle is inscribed in a square of side 6 cm and another circle is circumscribing the square. Is it true to say that area of the outer circle is two times the area of the inner circle? Give reasons for your answer

Solution

Problem 7 :

The area of a circle inscribed in an equilateral triangle is 154 cm². Find the perimeter of the triangle

Solution