A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredt

Question

mart [117]

2 years ago

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A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredt

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Mathematics

1 answer:

bixtya [17] · Answer 1 · 2022-08-17T18:30:07+03:00

We know that
area of the circle=pi*r²

circumference==2*pi*r----------> r=circumference/(2*pi)
circumference=25 1/7 in----> (25*7+1)/7----> 176/7 in
r=(176/7)/(2*22/7)----> r=176/44----> r=4 in

area of the circle is equal to the area of the cake
area=pi*r²---> (22/7)*4²-----> area=50.29 in²

the answer is
50.29 in²