Question

What is the measure in radians of central angle theta in the circle below?

Answer 1

Θ = 5 radians

Explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

here arc length = 15 , then

2πr ×
`(0)/(2\pi )` = 15 ( r is the radius )

2π × 3 ×
`(0)/(2\pi )` = 15 ( cancel 2π on numerator/ denominator )

3Θ = 15 ( divide both sides by 3 )

Θ = 5 radians