Neha Tyagi and Amit Rastogi Solutions for Chapter: Areas Related to Circles, Exercise 1: Exercise

If the circumference of a circle and the perimeter of a square are equal, then 

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

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

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

The area of the circle that can be inscribed in a square of side $6 \mathrm{cm}$ is 

The area of the square that can be inscribed in a circle of radius $8 \mathrm{cm}$ is 

The radius of a circle whose circumference is equal to the sum of the circumference of the two circles of diameters $36 \mathrm{cm}$ and $20 \mathrm{cm}$ is 

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii $24 \mathrm{cm}$ and $7 \mathrm{cm}$ is