Processing...

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

Enter a value for all fields

This **Area of a Circle Arc Segment** calculator computes the area of a segment of a circle defined by* A = f(r,h) *

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

**r**- the radius of the circle**h**- the depth from the edge of the circle

**Area of a Circle Arc Segment (A):** The area (A) returned in square meters. However, this can be automatically converted to other area units via the pull-down menu.

The formula for this calculator is as follows:

**where**

- θ = 2 • `cos^(-1)` ( (r-h)/r) in radians.

A related equation provides the same area if the angle defining the arc chord (θ) is known: To compute the area of the arc segment of a circle using the angle (θ) and radius (r), **CLICK HERE**.**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.