Answer:

0=60°

Step-by-step explanation:

⇒ Length of an arc =

3

5π

cm

⇒ r=5cm

⇒ Length of an arc =

360

o

θ

(2πr)

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

∴

3

5π

=

360

o

θ

×2π×5

∴ θ=

6

360

o

∴ θ=60

o

Answer:

the required angle = 60°

Step-by-step explanation:

radius = 5 cm

an arc of length = ( 5π/3 ) cm.

x°. 5π

-------- × 2πr. = ------ cm

360°. 3

x°. 5π

-------- × 2π × 5cm = ------ cm

360°. 3

x°. 5π

-------- × 10π cm = ------ cm

360°. 3

x°. 5π

-------- × π cm. = ------ cm

36°. 3

5π. 36°

x° = ------ cm× ------

3. π

= 5 ×12°

= 60°