Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:

Options:

13.86

20

10.12

24

Correct Answer:

13.86

Explanation:

Length of direct common tangent  = \(\sqrt {d² - ( R - r )² }\)

= \(\sqrt {14² - ( 8 - 6 )² }\)

= \(\sqrt {196 - 4 }\)

= \(\sqrt {192 }\)

= 13.86 cm