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:

$lenght \: of \: arc = \frac{theta}{360} \times 2\pi \: r \\ 26 = \frac{36}{360} \times 2 \times \frac{22}{7} \times r \\ r = \frac{26 \times 7 \times 360}{36 \times 2 \times 22} \\ r = 41.4 \: ans. \\ hope \: you \: understand.$