NAME DATE

Ch. 10 Circle Review

I. Central Angles

1. Both circles are centered at A. mZSAR = 32°, mZRAW =112°,AR = 5 in, AQ = 3\A

a. mSR = 32.

b. mTYX = 2-\(f>

c. mWR = U2-

e. mTX =

f. mSW = IH4 '

d. mXQ U2-

g. mSZW = 2-1 ̂

h. mTQ

II. Interior and Exterior Angles

3. x= 130" 4.x

R

6. mMXH =285°. mZHBM

M

_ o

mQS = 125,mPRQ =220, m RQS = 215—-_ £- o

mZRTO = ^^••5o

2-15-

III. Inscribed Angles

8. In circle P, mDG =114°, m DF = 122°.mZCDG = $" . mZFDE =

I S O - I l l - ,

II?

9. If mZL = (3x + 7)°, mZM = (4x + 3)° and mZT = (5x - 9)°, then mZJ =_ /* *. *-v* 4/u A ^ *»•-* C ^»». 1 *«- & A~tSo

3510. If quadrilateral ABCD is inscribed in circle P, mZA = (7x + 12)°, mZB = (3x + 58)° and mZC = (9x8)°, then mZD = _

~ ISO'

IV. Putting it all together

11. mAD = 130°,mBC =80°,mAB =70°.

a. mABC =

b. mDC =_

c. mZ 1 =

d. mZ2 = _

e. mZ 3 =

0

HO'

.1030),«••

12. In circle X, mAK = 108°, mZ KRE = 30° and mZ KME = 52°.

a. mRS VV b. m AS =

c. mZKPE = d. mZAKE =

13. In circle C, m AB = 116°. Find each indicated measure.

Ba. mZABD= 32.b. mZBCE = A

c. mZBAE= 11.'

d. mZACD =

D

15. Both circles are centered at O.

m EF = 80* m AC = 2& mBD" =

R

14. M circle P= mZEDC = 2 /*mZBCE = 5 C* andmZECD = 44.*a. mZADE = *?D A /

b. mZDAB =

c. mAC =

d. mDC =

e. mZDEC =

D

V. SegmentsTangent - Secant

is tangent to circle O.

Secant - Secant Chord - Chord

If DE = 12 and DO = 9, then CE = _?_.If mZ DOE = 60° and OD = 9, then CE =If DO = 5 and CE = 8, then DE = _?_.If DE = 36 and OE = 39, then DO - ?

WritingEquationsof circles

£

Solve for x.

23.

28. _

L,io- loo HD*

12

29. Suppose a chord of a circle is 26 meters long and it is 5 meters away from the center. Find the lengthof the radius. (Draw a diagram and round to nearest l^)th.

,2. , ~ 2 - 2_ YVflt- «•S- i -13 ~ x

=x30. Suppose a diameter is 34" long and a chord is 30" long. Find the distance between the chord and the

center \\ ̂

( ? TRIPLEvs

31. Write the equation of the circle with center (4, -2) and radius 7.

32. Find x:

K^= is-2-134. Find x.

5 / /^36£= 31

33. Find x

10

X '36. Graph the circle with the given equation. Label the center and the measure

of the radius on the graph.

For 37 - 41, draw one diagram.

37. If you have circle O with a chord AB and the distance to the chord isOC, what is the midpoint of AB?

AN- 38. If you extend OC to intersect the circle at K, name 2 congruent arcs.

39.'If KD is a diameter, then name 2 more congruent arcs. [)

_40. Name the longest segment in the diagram.

41. If BX is a diameter, name the point of intersection of BX and KD. i^

42. Find the measure of CD if mAE = 120°

4-

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