What is Arc Length & Sector Area for Radius = 14 & Arc Angle = 60
The Arc length is 14.6667 and circle sector area is 102.6667 for the given radius is 14 and angle of arc is 60, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Radius | 14 in |
| Angle | 60 ° |
| Area | 102.6667 in² |
| Length | 14.6667 in |
Work with steps to find arc length & sector area for radius = 14 & angle = 60
Question:
A circle sector has the length of 14 inches from its center in 60 degrees, find what is the area & arc length of a circle sector?
Workout :A circle sector has the length of 14 inches from its center in 60 degrees, find what is the area & arc length of a circle sector?
step 1 Address the formula, input parameter and values
Radius = 14 in
Angle = 60 °
step 2 Find Area of Circle Sector using Radius and Angle values
Area A = πr²θ/360
= π x (14)² x 60/360in²
= 22 x 196 x 60/(7 x 360)in²
= 258720/2520in²
Area A = 102.6667 in²
step 3 Find Length of Circle Sector using radius and angle values
Length L = 2πrθ/360in
= 2 x 22 x 14 x 60/(7 x 360)in
= 36960/2520in
Length L = 14.6667 in
