Arcs And Sectors Flashcards

1
Q

Formula to find arc length

A

Al=angle/360 x pi x diameter

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2
Q

Formula to find sector area

A

SA = angle/360 x pi x radius^2

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3
Q

A sector has an angle of 70degrees and a radius of 5.2cm. What is the arc length?

A

AL= angle/360 x pi x d
AL= 70/360 x pi x (5.2 x 2)
AL=6.352998477
AL=6.35cm

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4
Q

A sector has an angle of 108 degrees and a radius of 6.6 cm. What is the area of this sector?

A
SA= angle/360 x pi x r^2
SA= 108/360 x pi 6.6^2
SA= 41.0543328
SA = 41.05 cm^2
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5
Q

A sector has a radius of 19cm and an arc length of 28cm. What is the angle in the sector?

A
AL= angle/360 x pi x d
28 = angle/360 x pi x (19x2)
28 = angle x ((pi x 38)/360)
Angle=28/0.3316
Angle=84.4358856
Angle=84.4degrees
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6
Q

Formula to find radius using arc length

A
Al=angle/360 x pi x d
Al=(angle/360 x pi) x d
Al/(angle/360) = d
D=Al/(angle/360) 
R=(Al/(angle/360)) / 2
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