Question

Please help thank you!

Answer 1

We must know that a full circle is 360 degrees. The best way to do this is to add all the other angles (150+73+65) which will give us 288. To find the rest, subtract 288 from 360 to get 72. I hope this helps :)

Answer 2

8.1

Explanation:

1) There are 360 degrees in a circle. Therefore, the arc measure of PQ would be 360-(73+150+65)= 72.

2) The intercepted arc is the same measure as the central, making it 72. Therefore it takes up 72/360 of a circle or 1/5.

3) To find the measure of it, you would find 1/5 of the circumference. C=2πr . C=2(3.14)(6.48)≈ 40.7 .

4) 1/5 of the circumference would be (40.7)/(5)≈8.1

8.1 in.