The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.
What is the Length of an Arc?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Arc length = ∅/360 × 2πr
Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.
Use the formula above to calculate the value:-
Arc length = ∅/360 × 2πr
21.5 = ∅/360 × 2π ( 7.5 )
∅ = ( 21.5 x 360 ) / 2π ( 7.5 )
∅ = 164 degrees
Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.
Learn more about the arc length on:
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