Arcs And Sectors Flashcards
1
Q
Formula to find arc length
A
Al=angle/360 x pi x diameter
2
Q
Formula to find sector area
A
SA = angle/360 x pi x radius^2
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
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
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
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
