Question

Find the exact length of ADC . In your final answer, include all of your calculations.

Answer 1

Find the exact length of ADC . In your final answer, include all of your calculations.
I know the answer is 15pi m but I have trouble with writing out the calculations. If you could help me I'd greatly appreciate it! Thanks.

Answer 2

Answer:

15 π meters

Step-by-step explanation:

1) Since vertical angles are equal, angle BPD = 60 degrees and angle DPC = 120 degrees.

2) Now if you would add angles APB, BPD, and DPC, you would get the measure of arc ADC: 120 degrees + 60 degrees + 120 degrees = 300 degrees. So the measure of arc ADC = 300 degrees.

3) Now you would set up a ratio comparing the measure of arc ADC to 360 degrees: 300/360.

4) Then, simplify 300/360 to 5/6.

5) Next, do this: 5/6 x 2 π r --> 5/6 x 2 π 9. You should get 15 π.

6) So, the exact length of arc ADC is 15 π meters.

Hope this helps!   :)