Math 201
Name ______________________________
5.4-5.6 Circles STUDY GUIDE
Date __________ Period _________
1) In the circle below, 𝐻𝐷 = 4.5 cm. Find the length
of 𝑎𝑟𝑐 𝐺𝐶𝐹 to the nearest tenth.
3) Solve for x.
2) In the circle below, 𝑊𝑈 = 14 feet. Find the length
of 𝑎𝑟𝑐 𝑇𝑉 to the nearest tenth.
4) Solve for x.
5) Solve for x.
6) In the circle below, 𝐸𝐹 = 𝐸𝐺. If 𝐴𝐵 = 6𝑥 − 11
and 𝐶𝐷 = 2𝑥 + 9, find 𝐹𝐵 to the nearest tenth.
̂ = 102°.
7) In the circle below, 𝐻𝐾 = 30 and 𝑚𝐿𝐾
Find the indicated measures (round your answer to
the nearest tenth).
8) In the circle below, 𝐸𝐹 = 𝐸𝐺 , 𝐴𝐹 = 9 and
̂ = 55°. Find the indicated measures (round
𝑚𝐴𝐻
your answer to the nearest tenth).
𝐻𝑁 = _______
𝑀𝐿 = _______
̂ = _______
𝑚𝐻𝐾
̂ = _______
𝑚𝐺𝐻
̂ = _______
𝑚𝐽𝐾
𝐴𝐵
𝐶𝐷
̂
𝑚𝐴𝐵
̂
𝑚𝐶𝐼
̂
𝑚𝐶𝐷
= _______
= _______
= _______
= _______
= _______
9) Solve for x.
10) Find the measure of angle M.
11) Solve for x.
12) Find the measure of Angle A.
Answers
1) 23.9 cm
2) 19.4 ft
6) 9.5
7) HN=15
8) AB=18
10) 78°
CD=18
3) 13
ML=15
arcAB=110°
11) 34
4) 7
arcHK=129°
arcCI=55°
12) 73°
arcGH=64.5°
arcCD=110°
5) 27
arcJK=64.5°
9) 24