Calculators & Converters

    What is Arc Length & Sector Area for Radius = 56 & Arc Angle = 45

    Circle Sector CalculatorThe Arc length is 44 and circle sector area is 1232 for the given radius is 56 and angle of arc is 45, refer the calculation summary and work with steps for detailed explanation.
    Calculation Summary
    Radius56 in
    Angle45 °
    Area1232 in²
    Length44 in

    Work with steps to find arc length & sector area for radius = 56 & angle = 45

    Question:
    Find what is the Arc length & Sector Area of circle whose radius is 56 inches and angle is 45 degrees?
    Workout :
    step 1 Address the formula, input parameter and values
    Radius = 56 in
    Angle = 45 °

    step 2 Find Area of Circle Sector using Radius and Angle values
    Area A = πr²θ/360
    = π x (56)² x 45/360in²
    = 22 x 3136 x 45/(7 x 360)in²
    = 3104640/2520in²
    Area A = 1232 in²

    step 3 Find Length of Circle Sector using radius and angle values
    Length L = 2πrθ/360in
    = 2 x 22 x 56 x 45/(7 x 360)in
    = 110880/2520in
    Length L = 44 in

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