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`A = 1/2 * ( "r" )^2 * ( θ - sin( θ ))`

Enter a value for all fields

The **Area of an Arc Circle** formula, A = ½• r²• (θ - sin(θ)), computes the area defined by* A = f(r,θ)*

**INSTRUCTIONS:** Choose units and enter the following:

- (
**r**) - This is the radius of the circle. - (
**θ**) - This is the angle defining the arc.

**Area of an Arc Segment of a Circle (A):** The calculator returns the area (A) in square meters. However the user can automatically convert the output units to numerous other compatible units via the pull-down menu.

If `theta` is unknown, the same area can be calculated if the depth (**h**) from the edge of the circle toward the center is known. (See figure) The following equation calculates the area using **r** and **h**:**Related Calculators:**

**Circle Area**- This computes the area of a circle given the radius**(A = π r**.^{2})**Segment Area f(r,θ)**- This computes the area of an arc segment of a circle given the radius (**r**) and angle (**θ**)**Segment Area f(r,h)**- This computes the area of an arc segment of a circle given radius (**r**) and the depth (**h**) into the circle.**Sector Area f(r,Θ)**- This computes the area of a sector (pie slice) of a circle given the radius (**r**) and angle (**Θ**).**Area of Annulus**- This computes the area of an annulus (ring) given the inner radius (**r**) and outer radius (**R**).**Radius -Center to a Point**- This computes the radius of a circle given the center point (**h,k**) and any other point (**x,y**) on the circle.**Circumference**- This computes the circumference of a circle given the radius (**C = 2 π r**).**Arc Lengths**- This computes the length of a cord segment (arc length) on a circle given the radius (r) and angle (**Θ**)**Circle within a Triangle**- This computes the radius of a circle inscribed within a triangle given the length of the three sides (**a,b,c**) of the triangle.**Circle around a Triangle**- This computes the radius of a circle that circumscribes a triangle given the length of the three sides (**a,b,c**) of the triangle.**Radius from Circumference**- This computes the radius of a circle given the circumference.**Circumference from Area**- This computes the circumference of a circle given the area.**Radius from Area**- This computes the radius of a circle given the area.**Radius from Chord**- This computes the radius of a circle based on the length of a chord and the chord's center height.