ABC26GN4600 · Area
Subject: General Aptitude · Chapter: Area · Exam: 2009 · Marks: · Difficulty:
What will be the area of a semi-circle whose perimeter is 36 cm?
(a)$154 \mathrm{cm}^{2}$
(b)$168 \mathrm{cm}^{2}$
(c)$308 \mathrm{cm}^{2}$
(d)Data inadequate
(e)None of these
Answer
Explanation
Given : $$=\pi R+2 R=36 \Leftrightarrow(\pi+2) R=36 \Leftrightarrow R=\frac{36}{\left(\frac{22}{7}+2\right)} \mathrm{cm}=7 \mathrm{cm} \text {. }$$ Required area $=\frac{\pi R^{2}}{2}=\left(\frac{22}{7} \times \frac{7 \times 7}{2}\right) \mathrm{cm}^{2}=77 \mathrm{cm}^{2}$.
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