List of top Mathematics Questions on Circles

Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15. (Take \(\pi\) = 3.14)

From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take \(\pi\) = 3.14)

A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs RS 4 per meter. (Take \(\pi\) = \(\frac{22}{7}\) )

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take \(\pi\) = \(\frac{22}{7}\) )

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take \(\pi\)= 3.14)

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take \(\pi\) = 3.14)

A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (\(\pi\) = 3.14)

A circular flower garden has an area of 314 \(m^2\) . A sprinkler at the centre of the garden can cover an area that has a radius of 12 \(m\). Will the sprinkler water the entire garden? (Take \(\pi\) = 3.14)

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take \(\pi\) = 3.14)

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take \(\pi\) = \(\frac{22}{7}\))

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take \(\pi\) = 3.14)

Find the area of the following circles, given that: 

1.  radius = 14 mm (Take \(\pi\) = \(\frac{22}{7}\) ) 
2.  diameter = 49 m 
3.  radius = 5 cm

Find the circumference of the circles with the following radius: (Take \(\pi\) = \(\frac{22}{7}\) ) 

1.  14 cm 
2.  28 mm 
3.  21 cm