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1 year ago

The sector below is

Mathematics

1 answer:

Rainbow [258]1 year ago

6 0

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

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hope this helps

have a good day :)

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