Question

Q.28.) If the circumference is 154m. What is its Area? *
A.) 1886.5 m²
B.) 1889.5 m²
C.) 1898.5 m²
D.) None of these
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Answer 1

1886.5m^2 is the right answer

Answer 2

Answer:

1886.5 m²

Explanation :

First we need to find the radius.

So,

Given,

Circumference = 154m.

2πr = 154.

$\implies2 \times \frac{22}{7} \times r = 154$

$\implies \: \frac{2 \times 22}{7} \times r = 154$

$\implies \: r = 154 \times \frac{7}{2 \times 22}$

$\implies 77 \times \frac{7}{22}$

$\implies \: r \: = 7 \times \frac{7}{2}$

$\implies \: r \: = 24.5m$

Now ,

Area of circle πr²

$\implies \frac{22}{7} \times (24.5) {}^{2}$

$\implies \frac{22}{7} \times ( \frac{49}{2} ) {}^{2}$

$\implies \: \frac{22}{7} \times \frac{49}{2} \times \frac{49}{2}$

$\implies \frac{11}{7} \times 49 \times \frac{49}{2}$

$\implies \: 11 \times 7 \times \frac{49}{2}$

$\implies11 \times \frac{343}{2}$

$\implies \frac{3773}{2}$

$\implies1886.5m {}^{2}$

Therefore ,radius of circular sheet is 24.5m

&

Area of circular sheet is 1886.5m²