# Circle Sector (Arc) Area Calculator

getcalc.com's **Circle Sector Formulas & Calculator** is an online basic geometry tool to calculate area of sector & length of an arc (partial circumference length), in both US customary & metric (SI) units.

## Steps to Find Area & Length of a Circle Sector

The step by step workout for how to find what is area & length of a circle sector.__Workout :__

step 1 Address the formula, input parameter and values

Radius = 5 in

Angle = 45 °

step 2 Find Area of Circle Sector using Radius and Angle values

Area A = πr²θ/360

= π x (5)² x 45/360in²

= 3.1416 x 25 x 45/360in²

= 3534.2917/360in²

Area A = 9.8175 in²

step 3 Find Length of Circle Sector using radius and angle values

Length L = 2πrθ/360in

= 2 x 3.1416 x 5 x 45/360in

= 1413.7167/360in

Length L = 3.927 in

## Definition & Formulas

**Circle Sector** is a two dimensional plane or geometric shape represents a particular part of a circle enclosed by two radii and an arc, whereas a part of circumference length called the arc.