Radii of two circles are 12 cm and 5 cm.

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Radii of two circles are 12 cm and 5 cm. Distance between their centres is 25 cm. What is the length of the direct common tangent ?

Options:

21 cm

24 cm

22 cm

23 cm

Correct Answer:

24 cm

Explanation:

Formula to be used

√{D²-(r1 – r2)²}

⇒ AC = radius of smaller circle

⇒ BD = radius of bigger circle

According to the formula

⇒ Length of CD = √{25²-(12 – 5)²}

⇒ $\sqrt {576 }$ = 24 cm.