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# area of a sector?

For a circle of radius 55.5 cm, calculate the area of a sector whose

central angle is 44.4°

### 6 Answers

- ComoLv 71 decade agoFavorite Answer
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)

- Anonymous1 decade ago
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.

- 1 decade ago
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.)

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- SparksLv 61 decade ago
Area of Circle = π r²

Area of Sector = (Angle/360°) * π r²

Area of Sector = (44∙4°/360°) * π (55∙5)²

Area of Sector = 0∙123 333... * π (55)²

Area of Sector = 0∙123 333... * 9,676∙890 771...

Area of Sector = 1,193∙483 195... cm².

Area of Sector = 0∙119 348 319 m²