1] The radii of two circles are 25 cm and 9 cm. The distance between their centers is 34 cm. Find the
11 The radii of two circles are 25 cm and 9 cm. The dista
length of the common tangents of these circles.
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length of the common tangents is 30 cm
The radii of two circles are r₁ = 25 cm and r₂ = 9 cm.
distance between their center = r₁ + r₂ = 25 + 9 = 34 cm [ externally touch each other ]
length of common tangents of these circles = √{(distance between centres)² - (r₁ - r₂)²}
= √{(34)² - (25 - 9)²}
= √{(34 - 16)(34 + 16)}
= √{18 × 50}
= √{900}
= 30 cm
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