Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
What is the area of the circle? I. Perimeter of the circle is 88 cm II. Diameter of the circle is 28 cm [IBPS—Bank Spl. Officer (Marketing) Exam, 2016]
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
Statement I Perimeter of the circle $=88 \mathrm{cms}$ $$\begin{array}{ll} \Rightarrow & 2 \pi r=88 \\ \Rightarrow & r=\frac{88 \times 7}{22} \times \frac{1}{2} \\ \Rightarrow & r=14 \end{array}$$ $$\begin{aligned} & =\frac{22}{7} \times 14 \times 14 \\ & =616 \mathrm{cm}^{2} \end{aligned}$$ Statement II Diameter of the circle $=28 \mathrm{cm}$ Radius of the circle $=14 \mathrm{cm}$$$\begin{aligned} \text { Area of circle } & =\pi r^{2} \\ & =\frac{22}{7} \times 14 \times 14=616 \mathrm{cm}^{2} \end{aligned}$$ The data either in statement I alone or statement II alone are sufficient to answer the question. Hence, option (c) is correct.