Question

A fence is to be erected around a circular field. The cost of fencing would be $\$2260$ at the rate of $\$10$ per meter. Find the radius of the field $(\text{Take}\pi =\frac{22}{7})$.

• A. $40m$
• B. $25m$
• C. $30m$
• D. $36.05m$

Answer 1

The correct option is D $36.05m$

Given: Cost of fencing $=\$2260$ at the rate of $\$10$ per meter

Circumference of the field $=\frac{2260}{10}=226m$

Circumference of a circle $=2\pi r$

$226=2\times \frac{22}{7}\times r$

$\frac{226}{22}=\frac{2\times 22}{7\times 22}\times r$

$10.3=\frac{2}{7}\times r$

$5.15\times 7=r$

$r=36.05m$