Question

An arc of a circle makes a 36° angle at its centre. If the are has length 26 cm, find the radius of the circle. ​( answer is 41.4 cm ) plz explain how ?

Answer 1

Answer:

$lenght \: of \: arc \: in \: circle \\ = \frac{ \alpha }{360} \times 2\pi \: r \\ where \: \\ \alpha = angle \: between \: two \: radius \\ r = radius \\ according \: to \: question \\ 26 = \frac{36}{360} \times 2\pi \: r \\ r = \frac{26 \times 10}{2\pi} = \frac{130}{\pi} \\ < < \pi \: is \: similar \: to \: \frac{22}{7} > > \\ r = 41.36(approx)$

r=41.36 cm= 41.4 cm (approx)but the correct value of its radius= 41.38028520............... cm