Question

A piece of wire 22 cm long is bent into the form of an arc of a circle subtending
an angle of 60° at its centre. Find the radius of the circle.​


Please Help❤​

Answer 1

$\huge \bf {Answer:}$

Given,

• Length= 22cm
• θ=60°

Solution:

180°=πrad

$1°= \frac{\pi}{180}rad$

$: \implies \: 60° = \frac{\pi}{180} \times 60rad$

$= \frac{\pi}{3} rad$

Arc length= rθ

$: \implies r = \frac{1}{θ}$

$: \implies r = \frac{22}{ (\frac{\pi}{3}) }$

$: \implies r = \frac{22 \times 3}{( \frac{22}{7} )}$

$: \implies r =3 \times 7$

$: \implies \bf{ r =21cm}$

$⛬ \sf{The \: radius \: of \: circle \: is \: \frak{ \bold{21cm}}}$