In a circle a central angle of 144 intercepts an arc of 15 inches. find the length of the radium of the circle in inches

a) 9

b) 12

c) 6

d) 3

Correct option: c)

radius = 6 inches

Step-by-step explanation:

The complete arc of a circumference has 360 degrees, and the length is 2*pi*radius

Knowing this, we can use a rule of three to solve this problem:

144 degrees - > 15 inches

360 degrees - > 2 * pi * radius

144/360 = 15 / (2pi*radius)

2pi*radius = 360 * 15 / 144

radius = 37.5 / (2pi)

radius = 5.9683 inches

Rounding to nearest whole number, we have radius = 6 inches

Correct option: c)