Question

The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs 50 per metreNCERT Class XMathematics - Exemplar ProblemsChapter _AREA RELATED TO CIRCLES

Answer 1

ar=22176m²

     area of circle = π r²
 (22176 × 7)÷22= r²
                         r²=7056
                         r =84

circumference is the fence of the circle=2πr
                                                                  =2 × 22/7 × 84
                                                                  =528m

                        
                    

now,
ATQ

COST ON TOTAL FENCING ON CIRCULAR field is 50/m²
So,
50 × 528
rs.26400

so simple try its it is easy.

Answer 2

Answer: Cost of fencing = Rs 26,376

Step-by-step explanation:

To find the cost of fencing the circular playground, we need to determine the circumference of the circle since the fencing will be done around the boundary of the circle. The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. However, we don't know the radius of the circle in this case. Instead, we are given the area of the circle, which is 22176 m². We can use this information to find the radius of the circle as follows:

Area of the circle = πr²

22176 = πr²

r² = 22176/π

r ≈ 84

Now that we have found the radius of the circle, we can use the circumference formula to find the length of the fencing required:

C = 2πr

C = 2 x 3.14 x 84

C ≈ 527.52 m

Therefore, the cost of fencing the playground at the rate of Rs 50 per metre would be:

Cost of fencing = Length of fencing x Rate per metre

Cost of fencing = 527.52 x 50

Cost of fencing = Rs 26,376

So, the cost of fencing the circular playground at the rate of Rs 50 per metre would be Rs 26,376.

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