The distance between the centers of two circles is 60 cm and their rad

1.	The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?1). \( \sqrt(3479)\)2). 613). 484). 72
Answer» We know the formula for length of DIRECT common tangent, L² = D² - (r₁ - r₂)² Here L = Length of direct common tangent, D = Distance between the centre of the circles, r₁ and r₂ are RADIUS of circles, ⇒ L² = 60² - (35 - 24)² ⇒ L² = 3600 - 121 ⇒ L = $( \sqrt(3479))$ cm ∴ Length of direct common tangent = $( \sqrt(3479))$ cm

The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?1). $ \sqrt(3479)$2). 613). 484). 72

Answer»

We know the formula for length of DIRECT common tangent,

L² = D² - (r₁ - r₂)²

Here L = Length of direct common tangent, D = Distance between the centre of the circles, r₁ and r₂ are RADIUS of circles,

⇒ L² = 60² - (35 - 24)²

⇒ L² = 3600 - 121

⇒ L = $( \sqrt(3479))$ cm

∴ Length of direct common tangent = $( \sqrt(3479))$ cm