Help:(((( D43EFind each arc measure.a) mEFd) mHFb) mDHe) MEDG79c) mGEf) MHDFHG10Find the measure of AD.Find the value of x.(9r + 5)(&r - 3)M.(7x- 12)143D(7x - 6)(4r)Find the length of each arc.a) RSb) STV949 m/55INSCRIBED ANGLESINSCRIBED ANGLESAn Inscribed angle isan angle withavertex on theedge of the circle.The measure of an inscribed angleIs equal to half the measunre of theIntercepted arc.MLABC =INTERCEPTING A DIAMETEROVERLAPPING ARCSINSCRIBED QUADRILATERALSAninscribed ange thatintercepts a dameter orsemicircle is equal to 90°.If two nscribed anglesintercept the same arc, thenthe angles are congruent.Ifaquadriatera is inscrbednacrdle, thenits oppositeangles are supplementarymZA + m2C = 180°MZABC = 90°MZABD = m2LACDm²B + m¿D = 180°Find each measure.Find the value of x.a) MZSTRb) MZQRS .c) mTQd) MZSQR106e) mST(16r - 2)f) mQRFind mEC15Find mW ) Directions: Using the uircle below, give an example of each part.Aa) Center:g) Major Arc:b) Chord:h) Minor Arc:Hc) Diameter:i) Semicircle:d) Radius:j) Tangent:Ee) Central Angle:k) Point of Tangency:F\ Gf) Inscribed Angle:I) Secant:AREA & CIRCUMFERENCEAREA FORMULA:CIRCUMFERENCE FORMULA:Find the area:Find the area:32 in7 cmFind the circumference:Find the circumference:11 m15 ftFind the radius of a circle with a circumferenceof 81.68 cm.Find the diameter of a circle with an area of254.47 mm².CENTRAL ANGLES & ARC LENGTHSCENTRAL ANGLESARC MEASURE & ARCLENGTHA central angle isan angle with avertex on thecenter of a circle.The measure of an arc is equal to thecentral ange that creates the arc.DBArc Measure mAC= m/ABCArc Length I=x•2360The sum of all central angesnacrde is(x - the measure of the arc)Find each arc measure.D43°a) mEFd) mHFb) mDHe) mEDG79FHс) тGEf) MHDFG

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Answered: Find each arc measure. D. 43 a) mEF d)…

Math

Geometry

Find each arc measure. D. 43 a) mEF d) mHF b) mDH e) mEDG H c) mGE f) MHDF

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Help:((((

D
43
E
Find each arc measure.
a) mEF
d) mHF
b) mDH
e) MEDG
79
c) mGE
f) MHDF
H
G
10
Find the measure of AD.
Find the value of x.
(9r + 5)
(&r - 3)
M.
(7x- 12)
143
D
(7x - 6)
(4r)
Find the length of each arc.
a) RS
b) STV
94
9 m
/55
INSCRIBED ANGLES
INSCRIBED ANGLES
An Inscribed angle is
an angle witha
vertex on the
edge of the circle.
The measure of an inscribed angle
Is equal to half the measunre of the
Intercepted arc.
MLABC =
INTERCEPTING A DIAMETER
OVERLAPPING ARCS
INSCRIBED QUADRILATERALS
Aninscribed ange that
intercepts a dameter or
semicircle is equal to 90°.
If two nscribed angles
intercept the same arc, then
the angles are congruent.
Ifaquadriatera is inscrbed
nacrdle, thenits opposite
angles are supplementary
mZA + m2C = 180°
MZABC = 90°
MZABD = m2LACD
m²B + m¿D = 180°
Find each measure.
Find the value of x.
a) MZSTR
b) MZQRS .
c) mTQ
d) MZSQR
106
e) mST
(16r - 2)
f) mQR
Find mEC
15
Find mW

) Directions: Using the uircle below, give an example of each part.
A
a) Center:
g) Major Arc:
b) Chord:
h) Minor Arc:
H
c) Diameter:
i) Semicircle:
d) Radius:
j) Tangent:
E
e) Central Angle:
k) Point of Tangency:
F\ G
f) Inscribed Angle:
I) Secant:
AREA & CIRCUMFERENCE
AREA FORMULA:
CIRCUMFERENCE FORMULA:
Find the area:
Find the area:
32 in
7 cm
Find the circumference:
Find the circumference:
11 m
15 ft
Find the radius of a circle with a circumference
of 81.68 cm.
Find the diameter of a circle with an area of
254.47 mm².
CENTRAL ANGLES & ARC LENGTHS
CENTRAL ANGLES
ARC MEASURE & ARCLENGTH
A central angle is
an angle with a
vertex on the
center of a circle.
The measure of an arc is equal to the
central ange that creates the arc.
D
B
Arc Measure mAC= m/ABC
Arc Length I=x•2
360
The sum of all central anges
nacrde is
(x - the measure of the arc)
Find each arc measure.
D
43°
a) mEF
d) mHF
b) mDH
e) mEDG
79
F
H
с) тGE
f) MHDF
G

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