Discussion

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.]

Explanation:

Length of Direct Common Tangent = $\sqrt{d^{2} - {(r_{1} - r_{2})}^{2}}$

∴ $\sqrt{{(28 + 18)}^{2} - {(28 - 18)}^{2}}$ = $\sqrt{46^{2} - 10^{2}}$ = 44.90

Hence, option (c).

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