Circles (radius, diameter, circumference, perimeter, area): Practice Questions

The diameter of a circular plate is \(14\) cm. Find the circumference of the plate. (Take \(\pi = \frac{22}{7}\))

As shown in the figure, a circle is placed inside a square of side length \(20\) cm such that the circle touches all four sides. What is the area of the shaded region between the square and the circle? (Take \(\pi = 3.14\))

The radius of a circular track is \(35\) m. A runner completes \(3\) laps around the track. What is the total distance covered by the runner? (Take \(\pi = \frac{22}{7}\))

A circular garden has a circumference of \(88\) m. A path of width \(3.5\) m is built around the outside of the garden. Find the area of the path. (Take \(\pi = \frac{22}{7}\))

A semicircle has a diameter of \(14\) cm. Find the perimeter of this semicircle. (Take \(\pi = \frac{22}{7}\))

The radius of a circular plate is 7 cm. Find the circumference of the plate. (Take \(\pi = \frac{22}{7}\))

A circle is inscribed inside a square such that the circle touches all four sides of the square. If the area of the circle is \(36\pi\) cm\(^{2}\), find the perimeter of the square.

A wire of length \(88\) cm is bent into the shape of a rhombus. If the same wire is then reshaped into a circle, find the difference between the side length of the rhombus and the radius of the circle. (Take \(\pi = \frac{22}{7}\))