Question

fimd the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of 22 cm​

Answer 1

Step-by-step explanation:

Concept :- use formula

∅ = L/R

Where , ∅ is the angle subtended at the centre of circle.

L is the arc length of the circle.

R is the radius of the circle.

and then use the concept of

C/π = D/180° for radian to degree conversion.

Solution:-

L = 22 cm

R = 100 cm

So, ∅ = 22/100 radian

Now,

D = ( 22/100)×180°/π

= ( 22×180×7/100×22)°

= (63/5)°

= 12° + (3/5)×60'

= 12°36'