Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle [tex]=\dfrac{7\pi}{10}[/tex]
Arc length = 33 cm
Formula for arc length :
[tex]s=r\theta[/tex]
where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.
[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]
Multiply both sides by 10.
[tex]330=7\pi r[/tex]
Divide both sides by [tex]7\pi[/tex].
[tex]\dfrac{330}{7\pi}= r[/tex]
Put [tex]\pi=3.14[/tex]
[tex]\dfrac{330}{7(3.14)}= r[/tex]
[tex]15.0136= r[/tex]
[tex]r\approx 15[/tex]
Therefore, the radius of the circle is 15 cm.
