Question

An arc subtend 60 degree angle at the centre of the circle of radius 7cm .find the length of the arc and area of the sector

Answer 1

hey frnd...
we know that
$angle \: (in \: radian) = arc \div radius$
so....60°
= (60×π)/180°
= π/3

so using the formula
$\alpha \: is \: the \: angle \: and \: radius \: = 7cm \\ then \: \alpha = arc \div 7 \\ \pi \div 3 = arc \div 7 \\ (\pi \times 7) \div 3 = arc \\ putting \: \pi = 22 \div 7 \\(( 22 \div 7) \times 7) \div 3 = arc \\ 22 \div 3 = arc \\ 7.33 \: cm = arc$

so the length of arc = 7.33cm

HOPE THIS HELP YOU ☺☺