Question
Download Solution PDFAB = 28 cm and CD = 22 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 4 cm. The radius of the circle is ________. (Consider up to two decimals)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB = 28 cm and CD = 22 cm are two parallel chords on the same side of the centre of a circle.
The distance between them is 4 cm.
Calculation:
Let the OE is x, EF = 4 cm
As per the question,
OA = OC = radius of the circle
⇒ 142 + x2 = (x+4)2 + 112
⇒ 196 + x2 = x2 + 16 + 8x + 121
⇒ 8x = 59
x = 59 / 8
The radius will be,
√(142 + (\({59\over8}\))2 = 15.82 cm
∴ The correct option is 3
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