CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 14

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Question 41:

Find the area of a sector of a circle with radius 6 cm if angle of the sector is .

Angle of the Sector


We know that Area of sector


Required area

Question 42:

A wheel has diameter , find how many complete revolutions it must make to complete meters.


Diameter, Distance covered in one revolution circumference

Thus, for distance covered 264 cm, number of revolution

Number of revolutions

Question 43:

The given figure is a sector of a circle of radius . Find the perimeter of the sector.

Perimeter of a Sector of Angle


We know that circumference i.e., perimeter of a sector of angle of a circle with radius R

Required perimeter

Question 44:

A car had two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of . Find the total area cleaned at each sweep of the blades.


Radius of each wiper , Angle

Total area cleaned at each sweep of the blades

Question 45:

In the given figure arcs have been drawn with radii each and with centres P, Q and R. Find the area of the shaped region.

Find the Area of the Shaped Region


Area of shaded region