Formulas for Circles

# Formulas for Circles - QQCQt‘iI Qt“ dit‘ ﬂaws”...

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Unformatted text preview: QQCQt‘iI; Qt“ dit‘ ﬂaws” Stu/l1“ Rwy was, wiser .. ___._ m ,_ m maﬁa: %[m;sc_mgc] iii-MOE ..—. élmAE—fﬂ-BDE - ma'AB‘D = éimieﬁ—miedl 1 . =1 “r _ a H measemiasowioopzsm MACE 2'30 ”3—30 ‘ maABDaé3(199_3o)=350 Angle formed by. The vertex is Measure of the If malt =114, then two tangents outside the circle angle formed by mm 2 360 _ 114 intersecting and the s1des of the two tangents equals _ outside the circle angle are tangents. one-half the _ _ 246' The tangents divide difference of the mLQPR = the circle’s 360° into measure of the 24:6 — 114 two arcs. intercepted arcs. 2 1 _ mLQPR 2' — 5(132) %(mQ_Tl—€ — infill) = 56- Angle formed by two secants intersecting outside the circle The vertex is outside the circle and the sides of the angle are secants. The measure of an angle formed by two secants equals one—half the difference of the measures of the intercepted ares. .mLRPS = %(m'5_1? - man Iii-r131? = 123 and mfg—17' & 32, then %<96) = 48 Angle formed The vertex is ' p The measure of the IfrnCA=14O and by a secant and a outside the circle. A angle formed by a A tangent One ray of the ‘ B secant and a “VB = 52' then intersecting angle is a secant tangent equals one- 140 H 52 outside the circle and one is a half the difference rnLAPC = 2 tangent. C _ of the measures of 1 the intercepted arcs. = \$88} InLAPC = = 44 %([email protected] ~ HIE—3} A 4 5) If 555:5 = 81:15 and met: = 100°. what is 55mins? ’ ' _ 5’": m “Wt-“‘5 \ a: B 26% 5 glee? e555“ ,_ . 6) sté‘éﬁﬁéﬁ = 2:351: ﬁnd 5555.53. . mi} 52a (15:35:35; k ‘ 5- :5. 5.55;: 5013355 :5 :5? 5E5 2553* :5 7) if mgr“: =12E|° and mil-é = 50°, ﬁnd mat: “—‘5' aftgi‘t'wntjm =3» 5 5 c5- :35: 515.5 55:55:535 gamer ‘ 8) if maﬁa = 32° and me = 58°, ﬁnd net. ‘1 MW.“ *5 “pet: it :55 55 '5‘ gm. .m a m Hf .a“ E 3 a. {an} '15 X”5‘% 4‘; (£24 a, X102“ 9) ”ng 3: “15'3‘. ﬁnd rmF‘. 42 (ZM‘W "3:5. 0 if!) 10) if mp = 30°, ﬁnd radii 11) Two tangents are drawn to circle ﬁ‘em an extemel point R such that mfR = .70.d Find the measure of the major arc and minor arc Into whlch the arch: 1s d1v1de by the points of tangency. {ax In the diagfam, (ETA) is tangent to circltﬂ at A,‘ and secajtt W'intemects circle 0 at B and C. Chord E intei'sects chord 35 at E, E and CD are Chotds, maid—C = 70, MR = 15, and 111523211137) = 3 :2. Find: . _ . ﬂ .4. A _ a. male I). thD c. mCD d. méPAB _ e. mABCD - f. méCED g.____m4ABP _ ' h. 155sz ...
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