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 6cm if angle of the sector is .

Angle of the Sector

Angle of the Sector

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Answer:

We know that Area of sector

Here,

Required area

Question 42:

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

Answer:

Diameter, Distance covered in one revolution circumference

Thus, for distance covered 264cm, 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

Perimeter of a Sector of Angle

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Answer:

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 25cm sweeping through an angle of . Find the total area cleaned at each sweep of the blades.

Answer:

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

Find the Area of the Shaped Region

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Answer:

Area of shaded region