Instructions

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
(D) If the data given in both statements I and II together are not sufficient to answer the question and
(E) If the data in both statements I and II together are necessary to answer the question.

Question 146

What is the area of the circle ?I.perimeter of the circle is 88 cmsII.diameter of the circle is 28 cms

Solution

Let radius of the circle = $$r$$ cm

I : Perimeter = $$2 \pi r = 88$$

=> $$2 \times \frac{22}{7} \times r = 88$$

=> $$r = 88 \times \frac{7}{44} = 14$$ cm

$$\therefore$$ Area = $$\pi r^2 = \frac{22}{7} \times (14)^2$$

= $$22 \times 2 \times 14 = 616 cm^2$$

Thus, statement I alone is sufficient.

II : Diameter = 28 cm

=> Radius, $$r = \frac{28}{2} = 14$$ cm

$$\therefore$$ Area = $$\pi r^2 = \frac{22}{7} \times (14)^2$$

= $$22 \times 2 \times 14 = 616 cm^2$$

Thus, statement II alone is sufficient.

Thus, either statement alone is sufficient.