Question

Select the correct answer from the drop-down menu

Answer 1

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × $\frac{\frac{23}{20}\pi }{2\pi }$ ( r is the radius )

given arc = 63.48π , then

2πr × $\frac{\frac{23}{20}\pi }{2\pi }$ = 63.48π ( cancel 2π on numerator/ denominator )

r × $\frac{23}{20}$ π = 63.48π ( divide both sides by π )

$\frac{23r}{20}$ = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm