Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If two circles of radii 28 cm and 18 cm touch each other externally, then the length of a common tangent is _________. [Give your answer correct to 2 decimal places.]

Options:

40.90 cm

42.00 cm

44.90 cm

44.12 cm

Correct Answer:

44.90 cm

Explanation:

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

= \(\sqrt {46² - ( 28 - 18 )² }\)

= \(\sqrt {2116 - 100 }\)

= \(\sqrt {2016 }\)

= 44.899 cm

= 44.90 cm