A circle has a radius of 4.2 and a central angle in radians =

Publish date: 2024-07-10
A circle has a radius of 4.2 and a central angle in radians θ = MathCelebrity logo Image to Crop

A circle has the following:

Radius = 4.2

Central angle = θ = 0.6

Calculate the arc length and sector area

Calculate arc length (s):

s = rθ
where θ is in radians

Plug in r = 4.2 and θ = 0.6
s  =  4.2(0.6)
  

s  =  2.52π
  

s = INFπ

Calculate sector area (A):
A  =  r2θ
  2

where θ is in radians

Plug in r = 4.2 and θ = 0.6
A  =  4.22(0.6)
  2

A  =  17.64(0.6)
  2

A  =  10.584π
  2

A = 5.292π

Final Answer

s = INFπ
A = 5.292


What is the Answer?

s = INFπ
A = 5.292

How does the Arc Length and Area of a Sector of a Circle Calculator work?

Free Arc Length and Area of a Sector of a Circle Calculator - Calculates the arc length of a circle and the area of the sector of a circle
This calculator has 2 inputs.

What 1 formula is used for the Arc Length and Area of a Sector of a Circle Calculator?

What 4 concepts are covered in the Arc Length and Area of a Sector of a Circle Calculator?

arca portion of the boundary of a circle or a curvearc length and area of a sector of a circlecirclethe set of all points in the plane that are a fixed distance from a fixed pointsectora pie-shaped part of a circle made of the arc along with its two radii
(θ/360°) * πr2, where θ is measured in degrees.

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