Question

What is the angle subtended at the centre of a circle of radius 10 cm by an arc of length 5π cm?

Answer 1

SOLUTION:

Given:
Radius of Circle (r)= 10 cm
Length of an Arc (l)= 5π cm

If the radius of a circle is r , θ be the angle   and length of the arc is l, then

Length of the arc (l) = (θ /180) × πr
5π=  (θ /180) × π × 10
5 × 180 = θ × 10
θ =(5 × 180) / 10
θ =  180 /2 = 90°

Hence, the angle subtended at the centre of a circle is 90°.

HOPE THIS WILL HELP YOU...

Answer 2

Heya,

You know that the,

Radius of Circle (r)= 10 cm

Length of the Arc (l)= 5π cm

→ the radius of a circle is r , θ be the angle   and length of the arc is l, then

Length of the arc (l) = (θ /180) × πr

⇔5π=  (θ /180) × π × 10

∴5 × 180 = θ × 10

∴θ =(5 × 180) / 10

∴θ =  180 /2 = 90°

∴ the angle subtended at the centre of a circle is 90°.

________________________________________________________hope it helped!!ωω