Question

In the diagram below PQR are point on the circle with centre o and diameter 14cm <PRQ=35° Find the length of the minor arc PQ and the chord PQ take[π=3.142]​

Answer 1

Explanation:

I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there. just draw as much as you can from what the problem tells you.

diameter = 14 cm

radius = 7 cm

pi = 3.142

PRQ = 35 °

to find Y use law of sines

sin(70) / Y = sin(55) / 7

sin(70) / sin(55) / 7 = Y ( I'll use my calculator for all the non standard angles )

sin(70) * 7 / sin(55) = Y ( and invert and multiply the fraction in the denom )

8.03007 = Y

x = 70 °

if you have questions, and you should, just put them in the comments , I'll see them later :)