Question

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The
22
area of the circle is
7
T =
22​

Answer 1

Answer:

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Area of circle= 616sq cm

Given that Perimeter of rectangle= Perimeter of circle

⇒$2(l+b)=2{\pi}r2(l+b)=2πr$

⇒$2(18+26)=2{\times}{\pi}{\times}r2(18+26)=2×π×r$

⇒$44={\pi}r44=πr$

⇒$r=\frac{44{\times}7}{22}=14 cmr= </p><p>2244×7 =14cm$

$Then, Area of circle={\pi}r^{2}πr 2$

=$14{\times}14{\times}\frac{22}{7}14×14× 722$

=$616cm^{2}616cm 2$

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