BPSC 56th-59th Exam Prelims 15 Mar 2015 Solved Paper

Question : 130 of 150

Marks: +1, -0

A circle has area 154 square units. Its diameters have equations

2x – 3y + 12 = 0

and

x + 4y – 5 = 0

. Then the radius of the circle is

Solution:

From the question,
Area of circle

=154

square units

π r^{2}=154

⇒ \;{22}/{7} r^{2}=154

⇒ r^{2}=\;{154 × 7}/{22}

⇒ r=√{49}=7

units

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