ABC26GN4542 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

What is the area of a circle whose circumference is 1047.2 metres?

(a)69843.23 sq. m

(b)78621.47 sq. m

(c)79943.82 sq. m

(d)85142.28 sq. m

(e)87231.76 sq. m

Answer

Answer (as printed): E

Explanation

$2 \pi R=1047.2 \Rightarrow R=\frac{1047.2 \times 7}{2 \times 22}=166.6 \mathrm{m}$. $$\text { ∴ Area }=\pi R^{2}=\left(\frac{22}{7} \times 166.6 \times 166.6\right) \mathrm{m}^{2}=87231.76 \mathrm{m}^{2} .$$

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