This comes from knowing the unit circle in both radians and degrees. However, you could also calculate it from knowing that 360 degrees is 2 $\pi$ radians. What you'll find is that $\frac{\pi }{2}$ radians is 90 degrees, or 1/4th of the circle. This means that an arc measuring $\frac{\pi }{2}$ radians will be 1/4th of the entire circumference.

I hope this helps!

7 0

2 years ago

After 3.5 hours, Patrick had traveled 217 miles. If he travels at a constant speed, how far will he have traveled after 4 hours

Ede4ka [16]

Answer: He would have traveled 248 miles

Explanation: This is a ratio

To find how many miles he would have traveled after 4 hours, we need to apply the information givin into a ration table

(We can put miles on the top and hours on the bottom)

217 ?
------- ------
3.5 4

Now, we can do two things:
1. cross multiply
we would take 217 times 4 (868) and divide that by 3.5 (248)

2. Divide the top and bottom by 3.5 (numerator= 62 denominator= 1)
multiply 62 by 4 to get 248

Hope this helps!

6 0

2 years ago