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

## 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