Item contains a Question followed by two Statements. Answer each item using the following instructions :

A chord PQ of the circle C divides it into two segments such that 3 times the area of the major segment is 4 times the area of the minor segment.

Question: What is the radius of C ?

Statement I: Area of the minor segment is 66 square cm.

Statement II: Area of the major segment is 88 square cm.

Question

Question

This question was previously asked in

CDS Elementary Mathematics 16 April 2023 Official Paper

Choose this option if the Question can be answered by one of the Statements alone but not by the other.
Choose this option if the Question can be answered by either Statement alone.
Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
Choose this option if the Question cannot be answered even by using both Statements together.

Answer 1

Formula Used:

Area of Circle = πr²

Calculation:

According to the question,

4 × (Area of minor segment) = 3 × (Area of major segment)

⇒ (Area of minor segment)/(Area of major segment) = 3/4

Thus, if the area of the minor segment is given, we can find the area of the major segment and vice versa.

Area of Circle = Area of minor segment + Area of major segment

As we know, Area of Circle = πr2

Thus, we can find the radius of the circle if the area of the minor segment or the area of the major segment is given.

∴ Option 02 is the correct answer.

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