When the radius is 9 m, the arc length is 3 m and the sector area is 84.78 square metres.
What is area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane.
Here,
arc length=θ/360*r
sector area=(θ/2π)*πr²
r=9 m
π=3.14
arc=2π/3/2π*9
arc=3 m
sector area=2π/3/2π*3.14*9*9
=3.14*3*9
=84.78 m²
The length of arc when radius is 9 m will be 3 m and sector area is 84.78 m².
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