The radii of two concentric circles are 23 , | vedclass

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(A) The radius of the outer circle is $r_{1} = 23 \, cm$ and the radius of the inner circle is $r_{2} = 16 \, cm$.The area of the circular ring is giv

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$858$

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(A) The radius of the outer circle is $r_{1} = 23 \, cm$ and the radius of the inner circle is $r_{2} = 16 \, cm$.The area of the circular ring is given by the difference between the area of the outer circle and the area of the inner circle.$	ext{Area} = \pi r_{1}^{2} - \pi r_{2}^{2}$$	ext{Area} = \pi (r_{1}^{2} - r_{2}^{2})$Using the identity $a^{2} - b^{2} = (a + b)(a - b)$:$	ext{Area} = \pi (r_{1} + r_{2})(r_{1} - r_{2})$Substituting the values with $\pi = \frac{22}{7}$:$	ext{Area} = \frac{22}{7} 	imes (23 + 16) 	imes (23 - 16)$$	ext{Area} = \frac{22}{7} 	imes 39 	imes 7$$	ext{Area} = 22 	imes 39 = 858 \, cm^{2}$

Part $I$	Part $II$
$1.$ Formula to find the length of a minor arc	$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector	$b.$ $A=\pi r^{2}$
$3.$ Formula to find the area of a circle	$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle	$d.$ $A=\frac{\pi r^{2} \theta}{360}$

The radii of two concentric circles are $23 \, cm$ and $16 \, cm$. Find the area of the circular ring formed by the circles (in $cm^2$).

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