Question

How do you find the length of an arc of a circle with a radius of 17 cm if the arc subtends a central angle of 45 degrees?

Answer 1

$\small \bf \red{hey \: user \: here \: is \: ur \: ans} \\ \\ \small \bf \red{ \huge \: solution} \\ \\ \small \bf \red{ \boxed{given \: that}} \\ \\ \small \bf \red{r = 17 \: cm} \\ \\ \small \bf \red{ϑ = 45} \\ \\ \small \bf \red{ \boxed{as \: we \: know \: that}} \\ \\ \small \bf \red{ \boxed{ \bf{ \blue{length \: of \: arc = 2\pi \: r \frac{ϑ }{360} }}}} \\ \\ \small \bf \red{arc = 2 \times \frac{22}{7} \times 17 \times \frac{45}{360} } \\ \\ \small \bf \red{arc = \frac{44 \times 17}{7} \times \frac{9}{72} } \\ \\ \small \bf \red{arc = \frac{748}{7} \times \frac{1}{8} } \\ \\ \small \bf \red{arc = \frac{187}{7} \times \frac{1}{2} } \\ \\ \small \bf \red{arc = \frac{187}{14} } \\ \\ \small \bf \red{arc = 13.35 \: cm} \\ \\ \small \bf \red{ \boxed{ \bf{ \pink{ \therefore \: length \: of \: arc = 13.35 \: cm}}}}$

Answer 2

hope it helps you ..............