Question

Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).
Explanation Required.​

Answer 1

let the radius of circle be "r"

central angle(¥) =60° = π/ 3 radiant

arc length (l) = 37.4

we know from formula...

central angle (¥) = arc length(l) ÷ radius

=). π/3 = 37.4 / r

=). r = 37.4 ×3 /π = 112.2 / π cm

=). r = 112.2 ×7/ 22 = 35.7 cm ans

Answer 2

Answer:

Here l=37.4 cm,θ=60

o

=

3

π

rad

But r=

θ

l

=

π

37.4×3

=

22

34.4×3×7

=35.7 cm