Question

major arc BRA is 3/2 the length of minor arc BSA. the length of major arc BRA is 6pi centimeters. what is the radius of the circle?

Answer 1

9514 1404 393

Answer:

5 cm

Explanation:

The given arcs have the ratio ...

BRA : BSA = (3/2) : 1 = 3 : 2

Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.

0.6(2πr) = 6π . . . . . BRA is 6π long

r = 6π/(1.2π) . . . . . . divide by the coefficient of r

r = 5 . . . . centimeters