CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 27

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Question 6:

A round table cover has six equal designs as shown in figure. If the radius of the cover is , find the cost of making the designs at the rate of Ts. per .

The radius of the Cover

The Radius of the Cover

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Answer:

Area of minor sector

For, area of ,

Draw .

Area of minor sector

Area of Minor Sector

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In right triangles OMA and OMB,

[Radii of same circle]

[Common]

[RHS congruency]

In right angled triangle OMA,

Also,

Area of

Area of minor segment = Area of minor sector – Area of

Area of one design

Area of six designs

Cost of making designs