Question

the radius of a circle is 30 cm. find the length of an arc ,if the length of the chord of the arc is 30 cm

Answer 1

LET TAKE THAT CHORD AS AB = 30 CM IN O CENTRE OF CIRCLE AND JION OA AND OB SO OA = OB = 30 CM

SO ∆OAB IS EQUILATERAL TRIANGLE WE KNOW THAT IN EQUILATERAL TRIANGLE EACH ANGLE EQUALS TO 60 °

SO O = 60 ° = π/3 RADIAN

WE KNOW THAT IF 'O' ANGLE SUBTENDED AT CENTRE BY 'L' LENGTH OF ARC IN 'R' RADIUS OF CIRCLE THEN

O = L/R
O × R = L
π/3 × 30 = L
10π = L

SO THE LENGTH OF THE ARC OF CHORD IS = L = 10π CM

Answer 2

Answer:

Radius = 30 cm

Angle =60° (1° = π/180)

60° = 60*π/180 = π/3

l = rΦ

l = 30*π/3

l= 10π