For the first problem, we had to solve the circle and my answers are as followed: OK=157, KL=23, LM=67, MN=90, AND NO=23. After solving the circle, I used the answers from the circle to answer the questions. The answers are as followed: mKL=23, mLON=203, mOM=113, mKNL=337, and mNL=157. In conclusion, these steps helped me solve the above problem.
For the second problem, we had to find the arc length of arc PQS if QT is 19 feet. The first thing I had to do was solve the circle, giving me QR=52, ST=97, and TP=52. Then find out what PQS equals, which equals 211. Thirdly, I had to replace to 19 and x to 211 into the arc length formula (l=x/360•dπ) to find the arc length. Finally, solve your problem and the answer is 34.978ft. In conclusion, these steps helped me solve the above problem.
For the third problem, we had to find the circumference of circle R. First, I had to find the radius for this problem by using the Pythagorean Theorem (a²+b²=c²) to find our circumference which is c=25. Then, replace the radius with 25 into the circumference formula(C=2πr). Finally, after I replaced the radius with 25, I solved c= 2π(25) and my answer is C=157.079cm. In conclusion, these steps helped me solve the above problem.
Austin Hardy Geometry Blog 