If 1 + x2 represents the redius of circle P and 1

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If 1 + x² represents the redius of circle P and 1 + x = 17,
x² x
which of the following best approximates the circumference of circle P ?

1	+ x = 17
x

On squaring both sides,

	x +	1		²	= 17²
		x

⇒	1	+ x² + 2 = 289
	x²

⇒	1	+ x² = 289 − 2 = 287
	x²

= radius of the circle
∴ Circumferece of circle = 2πr
= 2 × 287 × π
= 574π units

If	1	+ x² represents the redius of circle P and	1	+ x = 17,
	x²		x