The circle below with center C is divided into 8 equal slices. Central angle LACB intercepts AB, forming the shaded sector. Complete the statements below. Give your answers as exact values, not decimal approximations. So, m AB = (a) Find the ratio of the area of the sector to the area of the circle. Area of sector Area of circle 0 0°. (b) From the figure we see that m ZACB=45°. The measure of LACB is undefined O 45° This gives the following equation. m AB 360° Area of sector Area of circle (c) Choose the equation that is true. Area of sector Area of circle = m AB A O Area of sector = O Area of sector = B mAB 360° m AB 360° 360° mAB --8a²² ·π₂.² the measure of AB. (d) Using for the area of the circle, choose the equation that gives a formula for the area of the sector. Area of sector Area of circle Area of sector Area of circle =8- O Area of sector mAB 360° 360° mAB m AB 360° -π/² Area of sector = m AB-²2² olo

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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Answer parts a-d for this question. Show your work and circle your answers.

The circle below with center C is divided into 8 equal slices.
Central angle ZACB intercepts AB, forming the shaded sector.
C
So, m AB =
Complete the statements below.
Give your answers as exact values, not decimal approximations.
m AB
360°
(a) Find the ratio of the area of the sector to the area of the circle.
Area of sector
Area of circle
(b) From the figure we see that mLACB=45°.
The measure of LACB is undefined
0°.
=
0
0
This gives the following equation.
Area of sector
Area of circle
45°
Area of sector
Area of circle
(c) Choose the equation that is true.
O Area of sector
=m AB
=
O Area of sector =
A
mAB
360°
B
mAB
360°
360°
m AB
-877-²
2
Tr
O
the measure of AB.
Area of sector
Area of circle
77.²
(d) Using for the area of the circle, choose the equation that gives a
formula for the area of the sector.
Area of sector
Area of circle
= 8
=
mAB
360°
O Area of sector =
360°
mAB
m AB
360°
·π/²
Area of sector = m AB-T²
8
X
5
Transcribed Image Text:The circle below with center C is divided into 8 equal slices. Central angle ZACB intercepts AB, forming the shaded sector. C So, m AB = Complete the statements below. Give your answers as exact values, not decimal approximations. m AB 360° (a) Find the ratio of the area of the sector to the area of the circle. Area of sector Area of circle (b) From the figure we see that mLACB=45°. The measure of LACB is undefined 0°. = 0 0 This gives the following equation. Area of sector Area of circle 45° Area of sector Area of circle (c) Choose the equation that is true. O Area of sector =m AB = O Area of sector = A mAB 360° B mAB 360° 360° m AB -877-² 2 Tr O the measure of AB. Area of sector Area of circle 77.² (d) Using for the area of the circle, choose the equation that gives a formula for the area of the sector. Area of sector Area of circle = 8 = mAB 360° O Area of sector = 360° mAB m AB 360° ·π/² Area of sector = m AB-T² 8 X 5
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