Q7 of 59 Page 120

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

Let a be the side of square = 6 cm


∴ Diameter of a circle = Side of square = 6 cm


∴ Radius of the circle = Diameter/2 = 3 cm


∴ Area of the circle = πr2 = π(3)2 = 9π cm2

More from this chapter

All 59 →
5

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

 6

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

 8

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

 9

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is