The area of the sector of the circle is 4.07 square inches
<h3>How to determine the area of the sector of the circle?</h3>
From the question, we have the following parameters
Radius, r = 4.5 inches
Angle, ∅ = 23 degrees
The area of the sector of the circle is calculated using the following sector of a circle formula
A = ∅/360 * πr²
Substitute the known values of r and ∅ in the above equation
So, we have the following equation
A = 23/360 * π * 4.5²
Evaluate the exponent
So, we have the following equation
A = 23/360 * π * 20.25
Express π as 22/7
So, we have the following representation
A = 23/360 * 22/7 * 20.25
Evaluate the products of the numerator and the denominator
So, we have the following representation
A = 10246.5/2520
Evaluate the quotients
A = 4.07
Hence, the sector has an area of 4.07 square inches
Read more about sector areas at
brainly.com/question/22972014
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