CC.G.C.5: Sectors: Derive using similarity the fact that the length... intercepted by an angle is proportional to the radius, and...

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Regents Exam Questions CC.G.C.5: Sectors
Page 1
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Name: __________________________________
CC.G.C.5: Sectors: Derive using similarity the fact that the length of the arc
intercepted by an angle is proportional to the radius, and define the radian measure
of the angle as the constant of proportionality; derive the formula for the area of a
sector
1 Triangle FGH is inscribed in circle O, the
length of radius
is 6, and
.
What is the area of the sector formed by angle
FOH?
1)
2)
3)
4)
2 In the diagram below of circle O, diameter
and radii
and
are drawn. The length of
is 12 and the measure of
is 20
degrees.
If
, find the area of sector BOD in
terms of .
3 In the diagram below of circle O, the area of
the shaded sector AOC is
and the length
of
is 6 inches. Determine and state
.
Regents Exam Questions CC.G.C.5: Sectors
www.jmap.org
1 ANS: 3
REF: 081518geo
2 ANS:
REF: spr1410geo
3 ANS:
REF: 061529geo
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