(a) <TOR=pi/3 radians
To determine <TOR we use the fact that in the right-angled triangle ORT we know two sides:
|OT|=radius=8cm and |OR|=radius/2=4cm
and can use the sine:

and since <TRO=pi/2, it must be that

(b) The arc length is approximately 7.255 cm
In order to calculate the arc length QT, we need to first determine the length |ST| and the angle <OST.
Towards determining angle <OST:

Next, draw a line connecting P and T. Realize that triangle PTS is right-angled with <PTS=pi/2. This follows from the Thales theorem. Since R is a midpoint between P and O, it follows that the triangles ORT and PRT are congruent. So the angles <PTR and <OTR are congruent. Knowing <PTS we can determine angle <OTS:

and so the angle <OST is

Towards determining |TS|:
Use cosine:

Finally, we can determine the arc length QT:

A number (we don’t know the number so I’ll use X) plus five. So we can start the equation of with X+5 then divided by 3=7 so X+5➗3=7 so to solve what X is we can just go in reverse. 7 TIMES 3= 21-5=16 so X=16
It’s easy it would be 5.6 because u have to undo the multiplication
Answer:
Can anyone help?
Step-by-step explanation:
I simplified your sentence. Do you have a picture to show?
Download math papa.... helped me tremendously