Math, asked by ellorasingha, 1 year ago

what is the area of a circle made of 1 m wires

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Answered by oindriladas1999

Step-by-step explanation:

area of the circle=2π1^2 sqm

Answered by abdul9838

$<b> <body \: bgcolor = "skyblue">$

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Solution

As we know that

$\bf \pink{the \: formula \: of \: area \: of \: circle(a) = \pi {r}^{2} } \\ \bf \pink{a = \pi \: {r}^{2} \: ................. \: 1st \: equation } \\ \\ \bf \purple{and} \\ \\ \bf \purple{circumference (c) = 2\pi \: r} \\ \\ \bf \blue{ = > r = \frac{c}{2\pi} ...........2nd \: equation} \\ \\ \bf \red{putting \: the \: value \: of \: r \: in \: equation} \\ \bf \red{1st \: from \: equation \: 2nd} \\ \\ \bf \pink{a = \pi \: {r}^{2} } \\ \\ \bf \orange{a = \pi \: \times ( \frac{c}{2\pi})^{2} } \\ \\ \bf \green{as \: we \: know \: that \: } \\ \\ \bf \green{ \underline{according \: to \: question}} \\ \\ \bf \red{circumference \: (c) = 1m = 100cm} \\ \\ \bf \orange{ = > a = \cancel\pi \times \frac{ {c}^{2} }{4 \times \cancel \pi \times \pi} } \\ \\ \bf \orange{a = { \frac{ { 7\times (100)}^{2} }{4 \times 22} } } \\ \\ \bf \orange{a = \frac{\cancel100 \times 100 \times 7}{ \cancel4 \times 22} } \\ \\ \bf \orange{a = \frac{2500 \times 7}{22} } \\ \\ \bf \orange{a = \frac{17500}{22} } \\ \\ \bf \orange{a = 795.45 \: {cm}^{2} \: \: answer}$

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what is the area of a circle made of 1 m wires​

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what is the area of a circle made of 1 m wires