mom baked a dutch apple pie in a 9 inch pan. she cut the pie into 6 pieces so that everyone gets the same size.
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The central angle of each pie is 60⁰ with an area of 10.6 in²
The radius r = 9 in/2 = 4/5 in
a) The central angle (θ) is given by:
θ = 360/6 = 60⁰
b) The area (A) of each pie is given by:
A = (θ/360) * πr² = (60/360) * π(4.5)² = 10.6 in²
c) The perimeter (P) is:
P = 2πr = 2π(4.5) = 28.3 in
d) (θ/360) * 2π(4.5) = 9π/8
θ = 45°
A = (45/360) * π(4.5)² = 7.95 in²
The central angle of each pie is 60⁰ with an area of 10.6 in²
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