Question

The radius of the circle is 30 find the length of an arc of the circle if the length of the chord of the arc is 30 cm

Answer 1

given:

r = 30cm = OA

let AB be chord

M is perpendicular to chord from the center

AM = 15cm

OM = ?

proof:

OA^2=AM^2+OM^2

(30+15)(30-15)=OM^2

OM^2=45×15

OM=675

OM=25.98

OM~26 cm

length of arc is 26 cm