The measure of the central angle in radian is 1.13π rad
The formula for calculating the area of a sector is expressed as:
A = θ/360 * area of a circle
Given the following parameter;
A = 16in^2
r = 3in
Substitute the parameter into the formula:
16 = θ/360 * 3.14(3)²
16 = θ/360 * 28.26
28.26 θ = 5760
θ = 5760/28.26
θ = 203.82
Hence the measure of the central angle in radian is 1.13π rad
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