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
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Answer:
Area of minor sector
For, area of ,
Draw .

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