The radius of circle is 41.76 cm
Solution:
Given that, 70° arc of a circle has a length of 51 cm
To find: Radius of circle
The formula for arc length when angle given in degrees is:
[tex]Arc\ Length = 2 \pi r \times \frac{\theta}{360}[/tex]
Where,
"r" is the radius of circle and [tex]\theta[/tex] is the central angle in radians
From given,
Arc length = 51 cm
[tex]\theta[/tex] = 70 degrees
Substituting the values in formula,
[tex]51 = 2 \times 3.14 \times r \times \frac{70}{360}\\\\51 = 6.28 \times r \times 0.194\\\\51 = 1.2211r\\\\r = \frac{51}{1.2211}\\\\r = 41.76[/tex]
Thus the radius of circle is 41.76 cm
