Calculators, Formulas and Work with Steps -
Circle Sector
Radius :

Angle :

Sector Area :

Arc Length :

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Circle Sector Calculator's circle sector 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. Students may use this circle sector calculator to generate work with steps for any other similar input values.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
= 22 x 25 x 45/(7 x 360)in²
= 24750/2520in²
Area A = 9.8214 in²

step 3 Find Length of Circle Sector using radius and angle values
Length L = 2πrθ/360in
= 2 x 22 x 5 x 45/(7 x 360)in
= 9900/2520in
Length L = 3.9286 in

Circle Sector & 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. K-12 students may refer the below formulas of circle sector to know what are all the input parameters are being used to find the area and arc length of a circle sector.

prism formulas to calculate volume & surface area
Formula to calculate area of circle sector (arc)

Problems on Area and Arc Length of a Circle Sector

Below are the practice problems for grade school students, on finding what is the area and arc length of a circle sector. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the area and arc length of a circle sector. For any other similar values, use this circle sector calculator to verify the results.
Calculators and Calculations