Question

in a circle of radius 35cm an arc substent an angle 60 degree at centre what is the length of arc​

Answer 1

$solution :$

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$the \: length \: of \: the \: arc \: is \: 44 \: cm \: area \\ \ \: of \: sectorof \: a \: circle \: is \: 770 \: cm \: ^{2}$

$given :$

$radiu \: of \: circle \: (r) \: = 35cm$

$angle \: subtended \: by \: an \: arc \: 0 = 72 \: degree$

$length \: of \: the \: arc \: l = ( \frac{0}{360} )2\pi \: r$

$l \: = ( \frac{72}{360} ) \: \times 2\pi \: \times 35$

$l = \frac{1}{5} \times 2 \times \frac{22}{7} \times 35$

$l \: = \: \frac{(44 \times 7)}{7}$

$l = \: 44 \: cm$

$length \: of \: the \: arc \: l = 44 \: cm$

$area \: of \: the \: sector \: of \: a \: circle \: a =$

$( \frac{0}{360} ) \times \pi \: r ^{2}$

$a = \frac{72}{360} \times \pi \times 35 ^{2}$

$a \: = \frac{1}{5 \: } \times \frac{22}{7} \times 35 \times 35$

$a = 22 \times 5 \times 7$

$a = 110 \times 7$

$a = 770 \: cm ^{2}$

$area \: of \: sector \: of \: a \: circle \: a = 770 \: cm ^{2}$

$hence \: the \: length \: of \: the \: arc \: is \: 44$

$cm \: \: and \: area \: of \: sector \: of \: a \: circle$

$is \: 770 \: cm \: ^{2}$

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