5 a. Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees correct to one decimal place.
5cm
2.5 radius
so 2 radians?
that's all i can think of i dont really know how to approach this problem i was away for a couple of days from school.
Think of arc-length as part-way around a circle. If you go 20% of the way around a circle, you've gone 20% of the diameter. You've also subtended 20% of the 360 degrees in the circle.
Your circle has a circumference of
Remember percents are always calculated using (times 100). If you've gone 5 cm around the circle, then you've gone of the circle, or of 360 degrees, or of radians.
Half of the way around would be radians and one-fifth of the way around would be radians. For of the way around, the answer is radians.