The area of a circle is 616 cm? and its circumference is equal to the perimeter of a rectangle whose sides are in the ratio 5 : 6. What is the area (in cm^²) of the rectangle?

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]

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: