Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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Radius (r)

Angle α


Area of a Sector radius 10 in with 12 in is 10.4666667 in²

Area of a Sector radius 10 in with 12 in is 10.4666667 in²


    Area of a Sector radius 10 in with 12 in in other units

Value unit
0.0002659 km²
0.0001652 mi²
0.2658533
0.8722222 ft²
10.4666667 in²
0.2907407 yd²
26.5853334 cm²
265.8533342 mm²

Steps:

Given that Radius, r = 10 in and α = 12 degrees

We know that, Area = r² * α/2

Put the radius and angle (α) values in Area Formula

A = 10² * 120/2

Given angle (α) in degrees so convert into radians

radians = 0.2093333

Simplify the above equation

A = 10.4666667 in²

∴ Area of a Sector radius 10 in with 12 degrees is 10.4666667 in²