Geometry Questions

A square with sides of 10 cm has a circle inscribed within it. What is the area of the shaded region (the square minus the circle)?

A rectangle measures 12 cm by 8 cm. Two identical circles with a diameter of 4 cm are placed inside the rectangle without overlapping. What is the area of the rectangle not covered by the circles?

A circle with a radius of 7 cm has a smaller circle with a radius of 3 cm cut out from its center. What is the area of the resulting annulus (ring)?

An equilateral triangle with sides of 6 cm has a circle inscribed within it. What is the area of the triangle not covered by the circle? (You'll need the formula for the area of an equilateral triangle).

A semicircle with a diameter of 14 cm has a smaller semicircle with a diameter of 7 cm cut out from it (aligned at one end). What is the area of the remaining shape?

A square with sides of 8 cm has four identical quarter-circles attached to each of its sides, pointing outwards. What is the total area of the composite figure?

A circle with a diameter of 20 cm has a square inscribed within it. What is the area of the region inside the circle but outside the square?

A shape is formed by a rectangle (10 cm by 5 cm) with a semicircle attached to one of its longer sides. What is the total area of the composite figure?

Two identical circles with radii of 5 cm overlap such that the distance between their centers is 8 cm. What is the area of the region that is common to both circles (the lens shape)? (This one is more complex and might require trigonometry or advanced geometry concepts, but can be framed as a numerical problem if the intersection points are given or can be easily calculated).

A regular hexagon with a side length of 4 cm has a circle inscribed within it. What is the area of the hexagon not covered by the circle? (You'll need the formula for the area of a regular hexagon).