Question

A circular field has diameter 14 meter.The field is divided into 4 separate quadrant . What is the cost of fencing one quadrant at rs.100 per meter

Answer 1

diameter = 14 m

radius = 14 /2 m = 7m

circumference of circle = 2πr

then, 2×22/7×7

= 2×22

= 44 m

now this circle is divided into 4 quadrant

then, circumference of each one = 44/4 =11m

now, cost of fencing = 11×100= ₹1100

Answer 2

Concept:

If the radius of a circle is r then the circumference (C) of the circle is given by,

$C=2\pi r$

Given:

Given that the diameter of a circular field is 14 meter and also the field is split into four separate quadrant.

Find:

The cost of fencing one quadrant at Rs 100 per meter.

Solution:

Given that the diameter of circular field is = 14 meter

The radius = 14/2 = 7 meter

The circumference is $=2\pi\times7=14\pi=14\times\frac{22}{7}=2\times22=44$ meters.

If we divide field into 4 equal parts then length to fence each quadrant = 44/4 = 11 m.

So the rate of fencing is = Rs 100

The total cost of fencing one quadrant is = 100*11 = 1100

Hence the value of fencing one quadrant at Rs 100 is Rs 1100.

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