Question

A piece of wire 20cm long is bent into the form of an arc of a circle subtending on angles of 60degree at the center find the radius of a circle

Answer 1

60/360 x 2 πr  1/6 x 2 x π x r = 20  2 πr  = 120  πr = 120 / 2  πr = 60  Or, r = 60 π

Answer 2

Answer:

Radius of circle = $\frac{60}{\pi }$

Step-by-step explanation:

Given,

Length of wire = 20cm

Angle formed = 60°

We know,

Length = $\frac{x}{360}$ * 2 π r

where,

x is the angle formed

r is the radius and

Substituting the values ,

20 = $\frac{60}{360}$ * 2 * π * r

20 = $\frac{ 1 }{6 }$ * 2 * π * r

π * r = ( 20 * 6 ) / 2

π r = 120 / 2

π r =  60

r = $\frac{60}{\pi }$

Hence,

Radius of circle = $\frac{60}{\pi }$