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The area and arc length of each piece can be found using the
relationship between a circle and a sector of the circle.
Responses (b, c, and d are approximated):
a. 120°
b. 10.6 square inch
c. 28.3 in.
d. Area: 15.8 in.², Central angle: 89.1°
<h3>How can the pie pieces dimensions be evaluated?</h3>Given:
Diameter of the pan, d = 9-inch
Number pie pieces cut from the apple pie = 6
The pie pieces are sectors of a circular pie.
a. The central angle of one pie pieces = = 60°
Therefore;
- The central angle of two pie pieces = 2 × 60° = <u>120°</u>
b. Area of circular pie = π·r²
Where;
Therefore;
- The area covered by each pie piece is approximately <u>10.6 square inch</u>
c. The circumference of a circle = 2·π·r
The circumference of the original pie = 2 × π × 4.5 in. ≈ <u>28.3 in.</u>
d. Let the arc length of the pie piece = 7 inches
- The area of the pie piece is approximately <u>15.8 in.²</u>
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Learn more about circumference, area and sector of a circle here: