Calculate the length of a direct common tangent to two circles of radii 3 cm and 8 cm with their centres 13 cm apart.
Circles
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Question

Calculate the length of a direct common tangent to two circles of radii 3 cm and 8 cm with their centres 13 cm apart.

KnowledgeBoat · Accepted Answer

Let there be two circles with centre A and B with radius 8 cm and 3 cm respectively. Let TT' be the length of common tangent. From figure, DT = BT' = 3cm. AD = AT - DT = 8 - 3 = 5 cm. In right angled triangle ADB Since, TDBT' is a rectangle, So, TT' = DB = 12 cm. Hence, the length of direct common tangent is 12 cm.

Mathematics

Calculate the length of a direct common tangent to two circles of radii 3 cm and 8 cm with their centres 13 cm apart.

Circles

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