Areas related to Circles ncert solutions Chapter 12 Exercise 12.2 Question 13
13. A round table cover has six equal designs as shown in diagram. If, the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per
. (Use
)
A round table as shown in the diagram has six equal designs. It means that
Construction: Draw
In
and
(Radii of circle)
(Each
)
OP=OP (Common side)
Therefore, by RHS congruence axiom,
(Corresponding angles of congruent triangles are equal)
Also,
(Corresponding sides of congruent triangles are equal) (1)
But, we have
In
cm
Also,
cm
Using (1), we can say that
cm
Area of Design portion = Area of six segments
Area of any one segment = Area of segment BQA
Area of segment BQA = Area of sector OBQA-Area of
Area of 6 segments
Cost of making the designs at the rate of Rs. 0.35
Rs 162.68
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