A wire in the from of a rectangle $18.7 c m$ long and $14.3 c m$ wide is reshaped and bent into the form of a circle, Find the radius of the circe so formed

7 c m

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\frac{21}{2} c m

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14 c m

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21 c m

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Solution

The correct option is D $\frac{21}{2} c m$
Rectangular wire is bent into circle
$\Rightarrow$ Perimeter of circle $=$ perimeter of rectangle
$\Rightarrow 2 π r = 2 (18.7 + 14.3)$
$\Rightarrow r = \frac{33}{π}$ cm
$r = \frac{33}{\frac{22}{7}}$ cm
$\Rightarrow r = \frac{21}{2}$ cm.

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A wire in the from of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent into the form of a circle, Find the radius of the circe so formed

The correct option is D 212 cmRectangular wire is bent into circle⇒ Perimeter of circle=perimeter of rectangle⇒2πr=2(18.7+14.3)⇒r=33πcmr=33227cm⇒r=212cm.

A wire in the from of a rectangle $18.7 c m$ long and $14.3 c m$ wide is reshaped and bent into the form of a circle, Find the radius of the circe so formed

The correct option is D $\frac{21}{2} c m$
Rectangular wire is bent into circle
$\Rightarrow$ Perimeter of circle $=$ perimeter of rectangle
$\Rightarrow 2 π r = 2 (18.7 + 14.3)$
$\Rightarrow r = \frac{33}{π}$ cm
$r = \frac{33}{\frac{22}{7}}$ cm
$\Rightarrow r = \frac{21}{2}$ cm.