**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**