CAT 1998 | Question: 185

Question

Read the following directions carefully and answer the questions and mark as follows:

A circle circumscribes a square. What is the area of the square?

1. Radius of the circle is given.
2. Length of the tangent from a point $5$-cm away from the centre of the circle is given.

 

• A. If any one of the statements alone is sufficient to answer the question.
• B. If both statements individually are sufficient to answer the question.
• C. If both statements together are required to answer the question.
• D. If both statements are not sufficient to answer the question.

 

Answer 1

 

1. If any one of the statements alone is sufficient to answer the question.

From statement $1$ :-

Radius is given, hence $'2 * \text{radius}’$ will be diagonal of square. Therefore, we can find area of square.

From statement $2$ :-

In the statement, tangent only touches circle at a single point, hence $5$ cm is actually radius of the circle. Thus, we can find diagonal of the square and finally we can obtain the required area.