Question

The diameter of semi circular field is $49$ m. What the cost of fencing the plot of Rs. $10$ per metre?

• A. Rs. $1259.3$
• B. Rs. $1260$
• C. Rs. $1250$
• D. None

Answer 1

The correct option is A Rs. $1259.3$

The perimeter of a semi circle is $=\pi r+2r$

Here $r:$ radius of the semi circle

Given that $2r=49$

$\Rightarrow r=\frac{49}{2}$

Perimeter of the semi circle $=(\pi +2)r=(\pi +2)\frac{49}{2}=125.93$ m

Cost of fencing the plot per metre $=$ Rs. $10$

Total cost of fencing $=125.93\times 10=$ Rs. $1259.3$.