Question
Download Solution PDFTwo concentric circles are drawn with radii 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Bigger circle radius(R) = 20 cm
Smaller circle radius(r) = 16 cm
Formula Used:
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
Calculations:
As BOC is an right-angled triangle at C
by Pythagoras theorem,
⇒ (BO)2 = (CO)2 + (BC)2
⇒ (20)2 = (16)2 + (BC)2
⇒ 400 = 256 + BC2
⇒ BC =
⇒ BC =
⇒ BC = 12 cm
When a line from centre fall on chord, It divide it into 2 equal parts
⇒ AB = 2BC = 2(12) = 24 cm
⇒ Hence, The length of the chord is 24 cm
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