For a circle of radius 55.5 cm, calculate the area of a sector whose
central angle is 44.4°
2007-07-27 19:56:59 · 6 answers · asked by layc_510 2 in Science & Mathematics ➔ Mathematics
Area of circle = π x 55.5 ² cm ²
Area of sector = (44.4 / 360) x π x 55.5 ² cm ²
Area of sector = 1193 cm ² (to nearest whole number)
2007-07-27 20:17:22 · answer #1 · answered by Como 7 · 0⤊ 0⤋
Area = Pi * 55.5^2 * 44.4/360 = 1193.5 cm
2007-07-28 03:03:19 · answer #2 · answered by mechnginear 5 · 1⤊ 0⤋
r=55.5 cm
angle=44.4 degrees.
180 degrees= pi radians
1 degree = pi/180 radians
44.4 degrees=(pi/180)X44.4 radians
So, angle in radians=(pi/180)X44.4 radians
The formula is
area of sector A=(1/2)Xangle in radiansXr^2
=(1/2)X(pi/180)X44.4X55.5^2
=1193.48 cm^2
(Value of pi=22/7)
I do all these daily.
2007-07-28 03:19:25 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Area of circle = pi * r^2
Area of sector = (angle/360)*pi*r^2
= 44.4/360*pi*55.5^2
= 379.8975*pi (cm sq.)
2007-07-28 03:22:22 · answer #4 · answered by plato of the 90's 1 · 0⤊ 0⤋
Area of Circle = Ï r²
Area of Sector = (Angle/360°) * Ï r²
Area of Sector = (44â4°/360°) * Ï (55â5)²
Area of Sector = 0â123 333... * Ï (55)²
Area of Sector = 0â123 333... * 9,676â890 771...
Area of Sector = 1,193â483 195... cm².
Area of Sector = 0â119 348 319 m²
2007-07-28 03:10:48 · answer #5 · answered by Sparks 6 · 0⤊ 0⤋
area 1/2 r^2 @rad = 1/2 x (55.5)^2x (44.4xpi/180)
=1193.483195 cm^2
2007-07-28 03:08:43 · answer #6 · answered by mramahmedmram 3 · 0⤊ 0⤋