The central angles of two sectors of circles of radii 7 cm and 21 cm are respectively 120° and 40°. find the areas of the two sectors as well as the lengths of the corresponding arcs. what do you observe?.
Answers
Answered by
1
length=44/3cm=14.67cm of both sectors' arcs area=51.3cm square n 153cm square
Jelly11:
hlo
wrak in math
wat
is it nt crrct
hlo
weak in mAth
sorry yr
Answered by
8
Radius = r = 7
theta = 120
Area of sector = πr^2 x theta/360
= 22/7 x 7 x 7 x 120/360
= 51.33 cm^2
Length of arc = 2πr x theta/360
= 2 x 22/7 x 7 x 120/360
= 14.66 cm
Radius = 21
Theta = 40
Area of sector = 22/7 x 21 x 21 x 40/360
= 154 cm^2
Length of arc = 2 x 22/7 x 21 x 40/360
= 14.66 cm
Length of both arcs is equal but areas of sectors are different.
theta = 120
Area of sector = πr^2 x theta/360
= 22/7 x 7 x 7 x 120/360
= 51.33 cm^2
Length of arc = 2πr x theta/360
= 2 x 22/7 x 7 x 120/360
= 14.66 cm
Radius = 21
Theta = 40
Area of sector = 22/7 x 21 x 21 x 40/360
= 154 cm^2
Length of arc = 2 x 22/7 x 21 x 40/360
= 14.66 cm
Length of both arcs is equal but areas of sectors are different.
Similar questions