Victory fot the ACT Exam 16e ST Sample

U NIT 4 | G EOMETRY • 187

CIRCLES 15. If the area of a circle is equal to 9 0 r , which of the following is (are) true? I I I I I I . . . T T T h h h e e e r d c a i i r a d c m i u u m e s t i f e s e r r 3 i e s . n6c.e is 6 0 r . AB .. II Ioonnl yl y CD.. II I, II Io, na lnyd I I I 14. Ibfyt h1e0 %w i adnt hd ot hf ea lreenc gt at hn gol fe tihs ei nr ec rcet aans egdl e idsoiensc rt he ae saerde ab yo f2t0h%e ,r be cyt wa nhgal te p e r c e n t a g e increase ? F. G H . . 1 1 2 0 5 %% J. 32%%

Don’t Forget This! 1. The 2. The area of ait sh reee qcl eut naa ngl tgt hol e

perimeter oissuf ema qruoe afc ltt hat one gt hl ee lfeonugrtshisdeosf.the mthuelwtipidlitehd. by

Don’t Forget This! 1. The 0 = . 2. The circumference ot of at hcei rdcilaemi seet eqru a l multiplied by r : circumference = 2 d r = r r 0 . 3. The area of a ctmhi ruec l rl t eai pdi sl i i uee sdq subqayul at or e d r : area r = r circle 2 . radius of a coinrec l-eh ai sl feoqfutahlet o diameter : r d 2

PROPERTIES OF TANGENT LINES 16. In the �igure below, O is the center of the circle, and PQ is tangent to the circle at P . If the radius of circle O has a length of 6, what is the area of the shaded portion of the �igure? F. r G. A. 4 0 r B. 8 0 r C. 8 0 + r D. 16 2 + r

17. The �igure below shows two pulleys cpounl lne ey cs t ae rde b8y f ae ebteal tp. aI fr tt ha en dc et nh tee pr su ol l fe yt hs e eleancghthh,aivnefaeerta,doifutshoef b1eflot?ot , what is the

3 0 r H. 6 0 r J. 9 0 r