Radian Measure and Arc Length
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What is the area of a full circle written to match the sector area formula
A
=
1
2
r
2
θ
A=\frac{1}{2}r^2\theta
A
=
2
1
r
2
θ
?
QUESTION
Find the radius
r
r
r
when arc length
s
=
10
π
s=10\pi
s
=
10
π
and
θ
=
5
π
2
\theta=\frac{5\pi}{2}
θ
=
2
5
π
(radians).
QUESTION
What is the radian-to-degree conversion formula for an angle measuring
x
x
x
radians?
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ANSWER
x
⋅
180
π
x\cdot\frac{180}{\pi}
x
⋅
π
180
. Multiply radians by
180
π
\frac{180}{\pi}
π
180
since
π
\pi
π
radians
=
180
°
= 180°
=
180°
.
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