In a circular park of diameter 80 m, there is a square-shaped playground of maximum area. The area of the playground is-

The radius of a circular track is 70 meters. If a cyclist completes 5 rounds, what distance does the cyclist cover?

Two circular pizzas have radii in the ratio 2:3. If the smaller pizza has an area of 100π cm², what is the area of the larger pizza?

What is the area of the segment formed by a chord in a circle of radius 8 cm, if the angle subtended at the center is 60°?

Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle with sides 249 m and 217 m. [Take π = 22/7]

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. The radius of the new park would be- 

In a circular park of diameter 80 m, there is a square-shaped playground of maximum area. The area of the playground is-

A square circumscribes a circle and another square is inscribed in the circle such that one vertex is at the point of contact. The ratio of the areas of the circumscribed and the inscribed squares is:

The area of a sector of a circle of radius 16 cm cut off by an arc of length 18.5 cm is:

Circumference of a circle is equal to the perimeter of a square. What is the ratio of area of circle to the area of square? 

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 114 m and 63 m.
Take $$\pi$$ = $$\frac{22}{7}$$​